graphing exponential functions and then State the domain, range and asymptote​

Graphing Exponential Functions And Then State The Domain, Range And Asymptote

Answers

Answer 1

9514 1404 393

Answer:

  D: all real numbers

  R: f(x) > 0

  A: f(x) = 0

  (-∞, 0), (+∞, +∞)

  vertical stretch by a factor of 2; left shift 2 units

Step-by-step explanation:

The transformation ...

  g(x) = a·f(b(x -c)) +d

does the following:

vertical stretch by a factor of 'a'horizontal compression by a factor of 'b'translation right by 'c' unitstranslation up by 'd' units

For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.

__

Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.

__

As with all exponential functions, ...

the domain is "all real numbers"the range is all numbers above the asymptote: f(x) > 0the horizontal asymptote is f(x) = 0

The function is a growth function, so ...

x → -∞, f(x) → 0x → ∞, f(x) → ∞

_____

Additional comment

The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...

  f(x) = 18(3^x)

with no left shift and a vertical stretch by a factor of 18 instead of 2.

Graphing Exponential Functions And Then State The Domain, Range And Asymptote

Related Questions

Explain distributive property

Answers

Answer:

distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.

Answer:

Look at attachment:

Step-by-step explanation:

Hope this helps! :)

(2/3)^4=

am very confuse guys help!!!

Answers

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]

[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]

[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]

If my answer is wrong pls correct me.

If you like my answer and explanation then please mark me as Brainliest!

-Chetan K

who is spongeborb ???

Answers

Answer:

Spongeborb???

I don't know a spongeborb, but I DO know a spongebob

Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes

Answer: spongeborb?

SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.

Step-by-step explanation:

Have a nice day!

pair of ratios. 1 : 2 = ___ : 8

Answers

Answer:

4

Step-by-step explanation:

Answer:

1 : 2 = 4 : 8

Step-by-step explanation:

20 Points Please help me

Answers

Answer:

98 inches

Step-by-step explanation:

Multiply the top length by the bottom length

C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm

Answers

Answer:

B

Step-by-step explanation:

Maria works for an international marketing consulting group. She is studying the monthly demands for Range Rover (suv) in two different cities of the country. She has 180,000 new Range Rovers to ship to the two cities, and she decides to ship 40,000 more to New York City than to Boston. Find the number of (suv) to be shipped to New York City . Please no link I can't open them

Answers

Answer:

110,000 (suv) to be shipped to New York City

Step-by-step explanation:

We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:

Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.

n + b = 180,000

Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):

b = n - 40,000

Now that we have a value for b in terms of n, we can plug this value into b in our first equation:

n + (n - 40,000) = 180,000

From here, we can solve:

n + n - 40,000 = 180,000

2n - 40,000 = 180,000

2n = 220,000

n = 110,000

Thus, we have our final answer.

I would appreciate Brainliest, but no worries.

A coin and a number cube with the numbers 1 through 6 are tossed. What

is the probability of the coin showing tails and the number cube showing

the number 3?

a. 1/12

b. 1/4

c. 1/8

d. ½
with some justification please ​

Answers

Answer:

yes

Step-by-step explanation:

opo

quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK

A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)

Answers

The answer is gonna be b


Given f(x) = 6(1-x), what is the value of f(-8)?

Answers

Answer:

7/3

Step-by-step explanation:

1x6

1x(-x)

subtract and solve

Can someone answer this? I’ll give points + brainalist

Answers

b because when u subtract the largest and smallest number its 20 and thats the most if u do it for all of them

If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.

Answers

Answer:

35% of 100 is 35

Step-by-step explanation:

the first person who answered this did a good job at explaining it

Answer:

35% of 100 is 35

Step-by-step explanation:

so trying to get this right hope it helps :D

Please help me with this question!! I also need the steps

Answers

Hi there!

[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at  π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

find the greatest four digits number which is divisible by 12, 18 and 30​

Answers

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.

Answers

9514 1404 393

Answer:

  19/21 hours, about 54 minutes 17 seconds

Step-by-step explanation:

The time is found from ...

  time = distance/speed

  time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h

The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.

Answer:

19

Step-by-step explanation:

Use the distributive property to multiply the expression.9m (7m+2)

Answers

Answer:

63m^2 + 18m

Step-by-step explanation:

9m x 7m + 9m x 2  

63m^2 + 9m x 2

63m^2 + 18m

the ^2 meaning exponent 2

plzzzzzzzzzzzzzzzzzzzzzzzzz help me this is a grade

Answers

Answer:

1.83

Step-by-step explanation:

Answer:

I'm not good with models and modeling but the answer will be 1.83.

Below are two parallel lines with a third line intersecting them

Answers

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to $25.99 a strand. Beth bought almost $200 worth of the cheapest lights so that she could have as many lights on her house as possible. For Beth, Christmas lights are a(n) _____.

Answers

Answer:

Christmas lights are price based shopping products

Step-by-step explanation:

From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.

The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).

Because of this, the customer will opt for least expensive items, leaving the more expensive items.

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?

Answers

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

69

Step-by-step explanation:

Nearest 10 = 60

15%×60 = 9

60+9 = 69

Aboard is cut into 12 equal pieces. How many pieces together represent 3/4 of the board? Explain how you arrived at your answer?

Answers

Answer:

9 pieces represent 3/ 4 because

3/4 × 12 parts = 9 parts

mark me as brainliest

Answer:

9 pieces

Step-by-step explanation:

12 x 3/4 = 9 or

3/4 converted to a decimal = .75 and 12 x .75 = 9

What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. Explain your answer in complete sentences.

Answers

Answer:

A graph that would be best for a group of students trying to figure out there favorite pizza is a pie graph.

Step-by-step explanation:

HELP ME PLEASE PLEASE PLEASE

Answers

Answer:

( 4 x 10 y )

Step-by-step explanation:

The dot plots show the heights of the players on two basketball teams.



Which statement is best supported by these data?

Answers

Answer:

hgfdcvbjk

Step-by-step explanation:

jhgfdsxzxdcfvgbhjkl

Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *

Answers

Answer:

80% of the class is made up of boys

Step-by-step explanation:

7/35 are girls, which means, 28/35 are boys (35 - 7)

To find the percentage, you divide 28 by 35

28/35 = 0.8 or 80%

On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?

Answers

Answer:

13 %

I hope it's correct.

Step-by-step explanation:

initial marks (o) = 98

final marks (m) = 85

rate (r) = ?

Now,

r =

[tex] \frac{o - m}{o} \times 100percent[/tex]

= ((98-85)/98)x100%

=13.26%

Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]


[tex] \frac{4}{9} + \frac{1}{2} [/tex]

Answers

The first one is 43/72 which can’t be simplified

The second one is 17/18

A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in
an upcoming election. A poll of 150 randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent candidate.
Based on this sample, which of the following is a 90% confidence interval for the proportion of all voters who
plan to vote for the incumbent candidate?

Answers

Answer:

90% confidence interval -> {0.4529, 0.5871}

Step-by-step explanation:

Check conditions for a 1-proportion z-interval:

np>10 -> 150(0.52)>10 -> 78>10 √

n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √

Random sample √

n>30 √

For a 90% confidence interval, the critical value is z=1.645

The formula for a confidence interval is:

CI = p ± z√[p(1-p)/n]

Given:

p = 78/150 = 0.52

n = 150

z = 1.645

Therefore, the 90% confidence interval is:

CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}

Context: We are 90% confident that the true proportion of all voters who

plan to vote for the incumbent candidate is contained within the interval

The points (3,h) and (10,1) fall on a line with a slope of
4/7 What is the value of h?

Answers

Answer:

h = -3

Step-by-step explanation:

Use slope formula:

(1 - h)/(10 - 3) = 4/7(1 - h) / 7 = 4/71 - h = 4h = 1 - 4h = -3

Answer:

The answer is  h = -3

Step-by-step explanation:

(1 - h)/(10 - 3) = 4/7

(1 - h) / 7 = 4/7

1 - h = 4

h = 1 - 4

h = -3

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