what I the range of f(x)=4^x?
A. all positive real numbers
B. all real numbers
C. all real numbers grater that or equal to 4
D. all real numbers grater than 4

Answers

Answer 1

Answer:

We conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=4^x[/tex]

Determining the domain:

The domain of a function is the set of input values for which the function is real and defined.

It is clear that the given function has no undefined points nor domain constraints.

Therefore, the domain is: -∞ < x < ∞

Thus,

[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

The range is the set of values of the dependent variable for which a function is defined.

We know that the range of an exponential function of the form

[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]

[tex]k=0[/tex]

In other words, the range is all positive real numbers.

Thus,

[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Therefore, we conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.


Related Questions

A net of a storage trunk is shown. Which is the trunk's surface area?

Answers

3,680 sq. in.

(36*20)*4= 2880
(20*20)*2= 800

What is 63 divided by 36?

Answers

Answer:

1.75

Step-by-step explanation:

used a calculator

Answer:

63÷36=1.75

Step-by-step explanation:

itz easy

mark me as a brainlist

Write the explicit rule for the given the sequence: 125, 25, 5, ...

Answers

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

For more information about the geometrical progression,

brainly.com/question/4853032

#SPJ2

3/4 + 1/12 helppppppppppppppp

Answers

Answer:

The answer is 5/6.

Step-by-step explanation:

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!

Answer:
4370

Explanation:
5 or more you round to the next number. In this case 8 is above 5 so you round to the next number of 68 which is 70

pls help asap i will give brainliest 16 POINTS!!!!

Answers

Its d because u would multiply and switch it around

Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT

Answers

Answer:

B' = 105°

C = 27°

A = 48°

Step-by-step explanation:

Given

B = 105°

C = (2x - 3)°

C' = (5x - 48)°

Rotation = 90°

Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.

i.e. an angle retain its measurements pre and after rotation.

Solving (a): The measurement of B'

Using the analysis above.

B' = B

Recall that

B = 105°

So:

B' = 105°

Solving (b): A and C

First, I'll solve for C.

Using the same analysis above.

C = C'

Substitute values for C and C'

5x - 48 = 2x - 3

Collect like terms

5x - 2x = 48 - 3

3x = 45

Multiply both sides by ⅓

⅓*3x = ⅓*45

x = 15

Substitute 15 for x in

C = (2x - 3)°

C = 2 * 15 - 3

C = 30 - 3

C = 27°

Solving for A

The sum of angles (A, B and C) is represented as:

A + B + C = 180

Substitute values for B and C

A + 105° + 27° = 180°

A + 132° = 180°

Collect like terms

A = 180° - 132°

A = 48°

A local hamburger shop sold combined total 500 hamburgers and cheeseburgers the number of cheeseburgers old was three times the number of hamburger sold how many hamburgers were sold?

Answers

Answer:

125 hamburgers

Step-by-step explanation:

Let x be the number of hamburgers sold and 3x the number of cheeseburgers sold.

So:

x+3x=500

4x=500

x=125

So there are 125 hamburgers sold.

Harley bought a one year $1000 treasury bond. He paid $950 for the treasury bond. What is his rate of return? Round to one decimal, such as: 6.7%.
0.053%
53%
5.3%
5%

Answers

Answer: 5.3%

Step-by-step explanation:

The formula to compute rate of return is given by :-

Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]

[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]

Hence,  his rate of return = 5.3%

Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it ​

Answers

Answer: This is a tough question

Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D

Step-by-step explanation:

Question in picture below will give brainly.

Answers

Answer:

The Best answer would be The Third Option Below

Step-by-step explanation:

A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.

Answers

Answer:

344 feet

Step-by-step explanation:

474-130=344

A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?

Answers

Can somebody help??? A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?

Answer:

the answer is 4

According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?

A 5
B 5.5
C 6
D 6.5

Answers

Answer:

It is also not B.

Step-by-step explanation:

I think that it might be D then.

50% chance lol

Determine the total surface area of each right triangle-based prism

Answers

Answer:

small prism: 630 m²large prism: 2520 m²

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

  (20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

  4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

small prism: 630 m²large prism: 2520 m²

And this is Ari, signing off

Answers

Answer:

Byeee again haha

Step-by-step explanation:

Yea I'm answering this question again

A specific moderator deleted a lot of my answers almost all at once and for the reason that I didn't answer the question the people were asking, it's pretty weird as all the questions were either free points or very extremely straightforward questions like "what dynasty started the great wall" and usually when a moderator sees those they delete them but they just deleted my answer for almost no reason haha

Well if u see this then have a great day!

Answer:

ok :)

Step-by-step explanation:

Please Help and be honest !
Do you “binge-watch” television series by viewing multiple episodes of a series at one sitting? A survey of 800 people who “binge-watch” were asked how many episodes is too many to watch in one viewing session. The results are displayed in the bar chart.
Is this Quantitive or Categorical?
--------------------------------------------------------------------------------------------------------------------------------
ALSO:
Explain how this graph is misleading.
A. The bars are various heights
B. The words at the end
C. The vertical axis doesn't show zero
D. None of the above

Answers

Answer:

D or C

Step-by-step explanation:

Which equation represents the line passing through the points (4, −1) and (1, 0)?

Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1

Answers

are you guys doing the ax+by=c formula?

Which symbol will make the number sentence true? 6/7 0.85

Answers

Answer:

6/7 > 0.85

hope this help

6/7 () 0.85

=6/7 () 85/100

=6/7 () 17/20

=120/140 () 119/140

∵120/140>119/140

∴6/7>0.85

Which table represents a function with a slope of 1/2 and a y-intercept of 4

Answers

Answer:D

Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.



Which statement is true?

Select each correct answer.




The maximum height of the water balloon occurs at x = 0.

The water balloon is in the air for 2 s.

The water balloon hits the ground in 64 s.

The water balloon rises above 64 ft before falling toward the ground.

The maximum height of the water balloon is 64 ft.

Answers

Answer:

O The maximum height of the water balloon occurs at x = 0.  

O The water balloon is in the air for 2 s.  

O The maximum height of the water balloon is 64 ft.

Step-by-step explanation:

Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.

The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.

Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.

The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have:

The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.

The water balloon follows a path such that it makes half parabola.

From the graph:

At x = 0

Height(h) = 64 feet

Which is the maximum height of the water balloon.

After t = 2 seconds

The water balloon hits the ground

The correct options are:

The maximum height of the water balloon occurs at x = 0.  The water balloon is in the air for 2 s.  The maximum height of the water balloon is 64 ft.

Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ5

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week

Answers

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

Answer:

picture A

Step-by-step explanation:

I know because I just took a quiz and i got it right


Write the decimal equivalent for 6 1/9

Answers

Answer: 6.11

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

6 × 9 = 54

Step 2: Add the product you got in Step 1 to the numerator:

54 + 1 = 55

Step 3: Divide the sum from Step 2 by the denominator:

55 ÷ 9 = 6.111111

That's it folks! The answer to 6 1/9 in decimal form is displayed below:

6 1/9 ≈ 6.11

Answer b.

Hope this answer helps you

Answer: b 6 1/9 = 6.11

Step-by-step explanation: what I did first was figure out the decimal version of 1.9 which equaled to 0.11111 etc. then due to it having a zero in front of it, you just place the in that spot making the answer 6.1111111 :)

hope this helped!

Cooper's bird feeder holds 9/10 of a cup of birdseed Cooper's filling the bird feeder with a scoop that holds 3/10 of a cup how many scoops of birdseed will Cooper put in the feeder ​

Answers

he will need 3 scoops. this is because 3x3 equals nine and it says the bird feeder holds only 9/10

How do you skip videos on edunuity?

Answers

Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.

Step-by-step explanation:

You may have to press next activity again and it might not work the first time but I promise it works.

Answer:

you skip when it comes to the very end

Step-by-step explanation:

Please Give Brainleast

(14)/(5)=(x)/(25) please help

Answers

Step-by-step explanation:

(14)/(5)=(x)/(25)

We move all terms to the left:

(14)/(5)-((x)/(25))=0

We add all the numbers together, and all the variables

-(+x/25)+14/5=0

We get rid of parentheses

-x/25+14/5=0

We calculate fractions

There is no solution for this equation

What is the reciprocal of 1/5?
5/1
4
1/5

Answers

the reciprocal of 1/5 is 0.2
it’s 5/1 ..........!,!.,

Which function has a graph with a positive y-intercept?
A. I and III only
B. I only
C. II, and III
D. III only

Answers

Answer:are you taking AP calculus AB

Step-by-step explanation:

Answer:

A l and lll

my teacher helped me

Why is it a good idea to check to see if your answer is reasonable?

a. if your answer is reasonable, you have
b. if you understand the problem, you will not need to check your answer.
c. you just need to solve for the varible
d. to get the correct answer, you will need to need to check your answer draw a picture

Please select the best answer from the choices provided.​

Answers

Answer:

D number option is the correct answer

Answer:

A. if your answer is reasonable, you have probably done the problem correctly

Step-by-step explanation:

A hiker starts hiking at the beginning of a trail at a point which is 20 feet below sea level. He hikes to a location on the trail that is 58 feet above sea level
and stops for lunch

What is the vertical distance between 200 feet below sea level and 580 feet above sea level?

Answers

Answer:

780 feet below sea level

Step-by-step explanation:

Other Questions
Use the following function rule to find f(-7).f(x) = 9x - 7O 70O-560 -7056 The correct sequence for the general adaptation syndrome is:_________ a) Exhaustion phase, alarm phase and resistance phase b) Alarm phase, resistance phase and exhaustion phase c) Resistance phase, exhaustion phase and alarm phase d) Alarm phase, exhaustion phase and resistance phase A scientist observes plant roots growing through the mountain side. This is evidence for which type of natural process? Physical weathering Chemical Weathering Erosion Deposition carolina planters tried to avoid social isolation: which number line correctly graphs the numbers in the list? PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS What are some examples of HIGH resistance? Question 2 options: long wire, wide wire, more resistorswide wire, short wire, less resistors long wire, narrow wire, more resistorsnarrow wire, less resistors, long wire (PLEASE HURRY! I NEED TO FINISH THIS QUIZ) A 29-year-old female complains of a sore throat and runny nose for 3 days. Today she notes she is having difficulty breathing due to frequent and severe coughing spells. She is alert and oriented, and her vital signs are P 84, R 20, BP 122/80. Given her symptoms, you should suspect: What is the quotation (-3)^0/(-3)^2 help please ill give brainlest and lots of points Is it scaling isosceles or equilateral and what is the answer HELP ASAPPP!!!! 60%, percent of a certain species of tomato live after transplanting from pot to garden. Eli transplants 16 of these tomato plants in a garden each month. Assume that the plants live independently of each other. Let X equal the number of tomato plants that live each month.Find the mean and standard deviation of X.You may round your answers to the nearest tenth.x= ... tomatoesx= ... tomatoes What did President Nixon believe about the American public in the 1970s?a, Most Americans opposed the Vietnam War. b, Most Americans disagreed with the counterculture. c, Most Americans knew communism was not a threat.d, Most Americans thought the draft was unfair. the answer is b, I did the test can someone help me. Arithmetic SequencesYour bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, youre going to only eat 5 pieces per day. What is the common difference? A line passes through the points (-8,-4) and has a slope of 5/4. PLS ITS A TEST ILL GIVE BRAINLIEST the equation is y = -3x + 2 y=x-6 Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour? The length of a rectangle is 4 more than twice the width length. The perimeter is 28. What is the LENGTH? Hannah buys 13 bottles of orange juice at the corner store for a total of $13.65. if each bottle cost the same amount, how much is each bottle of juice Which parts of DNA provide the code for proteins?