Write the domain and the range of the function as an inequality, using set notations, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior (19 points and brainliest)
Answers
Answer:
Step-by-step explanation:
I think we need to define domain and range first.
Domain is the set of all x values where the function f(x) exists or is defined.
Range is the set of all y values that will result from substituting all x values (the domain) into the function.
So for g(x) = 2x - 2 we can evaluate g(x) at any point, and we will get a real answer for y.
So the range of g(x) = 2x -2 is also all real numbers, because no matter what value of x is, we can always multiply that number by 2 and subtract 2.
The inequality does not affect the domain and range of linear functions at all. Don't confuse domain and range with a solution to an inequality. These two concepts are different. Domain and range mean all possible values of x and y that could be substituted into the inequality. A solution means all possible values that make the inequality statement true.
The domain as an inequality would be -∞ < x < ∞
The range as an inequality would be -∞ < y < ∞
As a set notation:
Domain {x | -∞ < x < ∞}
Range {y | -∞ < x < ∞}
In interval notation:
Domain (-∞ , ∞)
Range (-∞ , ∞)
End behavior:
As x gets larger and larger, g(x) gets larger and larger as well, and as x gets smaller, g(x) gets smaller too.
Related Questions
Choose the three shapes that have an area of 36 square centimeters.
9cm
12 cm
A
4 cm
D
3 cm
9 cm
12 cm
B.
9 cm
E.
6 cm
6 cm
C.
6 cm
Answers
Answer:
6cm
Step-by-step explanation:
Area of a square =
[tex]s^2[/tex]
Where s = one side
s = ?
[tex]A = s^2\\\\36 =s^2[/tex]
Square root both sides
[tex]\sqrt{36} = \sqrt{s^2} \\\\6 =s[/tex]
4x²-9y²-6x-9y Factorize
Answers
Answer:
Step-by-step explanation:
applying the properties of operations, what is the value of the expression?
Answers
Answer:
What expression are we supposed to be answering this for?
Answer:
i think it is 3.875
Step-by-step explanation:
i'm so sorry if it's incorrect; good luck anyways :)
Can someone answer all these for me please
Answers
1. 169
2. 64
3. 81
4. 125
5. 4
6. 216
7. 2304
8. 27
9. 49
Second section
1. 4
2. 3
3. 5
4. 9
5. 1
6. 2
7. 7
8. 6
9. 10
Third section
1. 24
2. 3
3. 15(squareroot sign) 5
4. 18 (squareroot sign) 6
5. 6 (squareroot sign) 2
6. 72 (squareroot sign) 3
7. 21 (squareroot sign) 7
8. 0
9. 81
3. What is the slope of the line x = -5? (1 point)
O Undefined
O 0
O -5
O 5
Answers
Answer:
slope is undefined
Step-by-step explanation:
x = - 5 is the equation of a vertical line, parallel to the y- axis.
The slope of a vertical line is undefined.
Which diagram represents a line of symmetry of the regular octagon?
Answers
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
12 more than quotient of a number k and 5
Answers
Answer:
(k/5)+12 represents the question described
The required equation is 12 + k/5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
12 more than quotient of a number k and 5
Converting them into numerical form,
quotient of a number k and 5 = k/5
Therefore 12 more than quotient of a number k and 5 is written as,
12 + k/5
this is the required equation for the given statement.
Thus, the required equation is 12 + k/5.
To learn more about equation:
https://brainly.com/question/4915174
#SPJ2
I need help with this math problem please
Answers
Answer:
65 -3x = 55 -2.5x20 periods$5Step-by-step explanation:
The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...
65 -3x
The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...
55 -2.5x
The equation that can be used to find x that makes the values equal is ...
65 -3x = 55 -2.5x
__
The solution can be found by adding 3x-55 to both sides of this equation.
10 = 0.5x
Multiplying by 2 gives ...
20 = x
After 20 30-day periods. the cards will have the same value.
__
The value after 20 periods is ...
65 -3×20 = 65 -60 = 5
Both cards will have a value of $5 when they have the same value.
Its the same dropdown for every question, what is the answer for each one
Answers
Answer:
2.5y, y = -5.2
2.5(-5.2) = -13
2x² + y, x = -2, y = 5
2(-2)² + (5)
2(4) + 5
8 + 5 = 13
a(b), a = 2/3, b = 9/14
(2/3)(9/14)
cross simplify
(1/1)(3/7) = 3/7
Sorry I also need help with this question
Answers
Answer: B
Step-by-step explanation:
(f/g) means to divide f(x) by g(x).
[tex](f/g)(x)=\frac{3x+2}{3x-5}[/tex]
To find the domain, you set the domain equal to zero and solve for x.
3x-5=0 [add both sides by 5]
3x=5 [divide both sides by 3]
x=5/3
Now, we know that B is the correct answer.
Which equation could you use to solve for x in the proportion 4 over 5 = 9 over x ?
Answers
Step-by-step explanation:
4/5 = 9/x
x(4/5)= 9
4/5x = 9
×5/4 ×5/4
x=11.25
Melissa compares the numbers 0.058 and 0.21. She thinks that 0.058 > 0.21 because 58 > 21 , but the reasoning that Melissa used is incorrect
Answers
Answer:
Step-by-step explanation:
What is the answer tho
BRAINLIEST TO THE FIRST 2 TO ANSWER
Answers
Answer:
ab + b²-ac-bc
b(a+b) -c(a+b)
(a+b) (b-c)
Step-by-step explanation:
Answer:
C. (b-c)(a+b)
Step-by-step explanation:
This i s because there is a positive b squared in the expanded equation so both brackets had to have had a positive b term in them.
(b-c)(a+b) expanded:
ab +b^2 -ac -bc
Hope this helped!
Put the following fractions in order of size starting with the one with the least value 5/16 1/2 3/4 5/8 1/4
Answers
Answer:
1/4, 5/16, 1/2, 5/8, 3/4
Step-by-step explanation:
Answer:
1/2 1/4 3/4 5/8 5/16 this is the right answer s
Which operation has to be calculated first in this expression?
7 – (4 + 5)
Answers
Answer:
Addition
Step-by-step explanation:
You should add 4 and 5 first because of PEMDAS.
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Since 4+5 is in parentheses it should be done first.
Answer:
Addition
Step-by-step explanation:
This the answer because:
1) First, we have to know the Order of Operations
2) An easy way of remembering this is PEMDAS or GEMS
PEMDAS : Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
GEMS : Grouping (Parenthesis), Exponents, Multiplication and Division (whichever one comes first from left to right), Addition and Subtraction (whichever one comes first from left to right)
3) In this expression, parenthesis would be first because that's what comes first in the order of operations
4) Inside the parenthesis is another expression where you need to add. Therefore, the answer is addition
Hope this helps!
Write an equation in slope intercept form for the line that passes through the point with the given slope. point: (4,2) and m=3
Answers
Answer:
3x/10 - y/10 = 1
Step-by-step explanation:
(y-2)/(x-4)=3
y-2=3x-12
y-3x= -12
3x/10-y/10=1
Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form.
Answers
Answer:
-4g^4 -3g^3 + 4g^2 +5g +3
Step-by-step explanation:
g^2 + -4g^4 +5g +9 -3g^3 + 3g^2 -6
-4g^4 -3g^3 + 4g^2 +5g +3
Answer:
B
Step-by-step explanation:
Simplify fraction 4/28 and 24/80
Answers
Answer:
1. 1/7
2. 3/10
Step-by-step explanation:
4/28 can be divided by 4
24/80 can be divided by 8
Help, please find errors!
Answers
Everything looks great. The only issue I see is that 27 is a bit smudged. I think you were trying to say "A, B and E" (in any order you want). If so then that would be the correct answer.
Ella is buying a $110 chair. She has a coupon for 15% off. How much does she pay for the chair if sales tax is $6
Answers
Answer: the answer should be 99.5
samir had 2 apples , he ate 1 how many are left
Answers
Answer:
1
Step-by-step explanation:
There was 2 apples. He ate 1.So 2-1=1.
1 apple is left.
Answer: 1
Step-by-step explanation: 2-1=1
the average weight of a mature human brain is approximately 1400 grams. what is the equivalent weight in kilograms? and in pounds? I NEED STEP BY STEP
Answers
Answer:
1.4
Step-by-step explanation:
you need to multiply 1400 by 0.001 because 1 gram is the equivalent to 0.001 kilograms
Answer:
1.4
Step-by-step explanation:
Find an expression which represents the difference when (-8x-8y) is subtracted from (6x+y) in simplest terms.
Answers
The expression that represents the difference between the two algebraic expressions given is: 14x + 9y.
What is the Difference of Algebraic Expressions?The difference between two algebraic expressions is simply gotten by subtract one from the other.
Thus, find the difference between the two algebraic expressions, (6x+y) and (-8x-8y).
(6x+y) - (-8x-8y)
Open the bracket
6x + y + 8x + 8y
Combine like terms
14x + 9y
Therefore, the expression that represents the difference between the two algebraic expressions given is: 14x + 9y.
Learn more about algebraic expressions on:
https://brainly.com/question/2164351
Need help ASAP! 20 points:)))
Answers
Answer:
Addition Property of Equality
If a, b, and c are any real numbers, and a(b + c) = ab + ac, then (b = c) a = ba + ca.
Pleaseeeeeee Help meee :(((((
(30 points)
Answers
Answer:
9
Step-by-step explanation:
d=rt
12x45/60
12x0.75
9=d
Answer:
Step-by-step explanation:
URGENT PLS HELP
BD bisects ABC. Find each of the following
1. Find the measure of angle ABD if the measure of angle ABD = 6x + 4 and
the measure of angle DBC = 8x - 4
2. Find the measure of angle ABC if the measure of angle ABD = 5y - 3 and the
measure of angle DBC = 3y + 15.
Answers
Align the horizontal edge of the protractor with the base of the triangle. Place the center point of the protractor on the vertex of the angle. Follow the side of the triangle until it reaches the angle measurement mark. Note the measurement.
Which equation is in standard form?
A. -3(x + y) = 10
B. y = 4x + 2
C. 5x –y = 15
D. 0.5x + 6y = 1.9
Answers
pt=3x9 and tq=5x-7 because i have no idea what it is
Answers
Answer:
i have the same question on my worksheet
Step-by-step explanation: its super hard need help too
(If someone answers fast i will mark you brainliest ) Which ordered pair would form a proportional relationship with the point graphed below? (10, -20) (-30, 20) (-10, 5) (35, -20)
Answers
Answer:
(-10, 5)
Step-by-step explanation:
(10, -20), (-30, 20), (35, -20) ⇒ these points are not on the line, so they don't form a proportional relationship with the graph.
(-10, 5) ⇒ this point is on the line, so it forms a proportional relationship with the graph.
Please tell me if I'm wrong. I might be wrong, but I'm trying my best to help..
Xian and his cousin Kai both collect stamps. Xian has 52 stamps, and Kai has 72 stamps. The boys recently
joined different stamp-collecting clubs. Xian's club will send him 12 new stamps per month. Kai's club will
send him 8 new stamps per month. After how many months will Xian and Kai have the same number of
stamps? How many stamps will each have?
After
months Xian and his cousin will have
stamps each.
Answers
Answer:
Step-by-step explanation:
Let the x be the number of months.
In x months, xian will have:
(52+16x) stamps
and kai will have:
(76+12x)stamps
To find out how many months they will have the same number of stamps, we evaluate the two expressions:
52+16x=76+12x
52+4x=76
4x=24
x=6
So xian and kai will have the same number of stamps after 6 months.
Using either of two expressions, each will have:
52+16(6)=76+12(6)= 148 stamps.
Would appreciate if you could give brainiest have a great day
Answer:
6 months
Step-by-step explanation:
56+ 12x = 80 + 8x