If f ( x ) = x − 1 f\left(x\right)\ =\ x-1 f ( x ) = x − 1 and g ( x ) = 5 x − 2 g\left(x\right)=5x-2 g ( x ) = 5 x − 2 , then ( f g ) ( x ) \left(\frac{f}{g}\right)\left(x\right) ( g f ) ( x )

x − 1 5 x − 2 \frac{x-1}{5x-2} 5 x − 2 x − 1

5 x − 2 x − 1 \frac{5x-2}{x-1} x − 1 5 x − 2

Suppose f ( x ) = 3 x + 1 , g ( x ) = 2 3 x + 4 , a n d h ( x ) = − 4 x − 5. f\left(x\right)=3x+1,\ g\left(x\right)=\ \frac{2}{3}x+4,\ and\ h\left(x\right)=-4x-5. f ( x ) = 3 x + 1 , g ( x ) = 3 2 x + 4 , a n d h ( x ) = − 4 x − 5 . Find g ( 9 ) h ( 2 ) \frac{g\left(9\right)}{h\left(2\right)} h ( 2 ) g ( 9 )

− 10 13 -\frac{10}{13} − 1 3 1 0

10 − 11 \frac{10}{-11} − 1 1 1 0

Find the domain and the range of the function.

D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , 10 ] Domain:\ \left(-\infty,\ \infty\right)\ Range:\ \left(-\infty,10\right] D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , 1 0 ]

D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , 10 ) Domain:\ \left(-\infty,\ \infty\right)\ Range:\ \left(-\infty,10\right) D o m a i n : ( − ∞ , ∞ ) R a n g e : ( − ∞ , 1 0 )

D o m a i n : ( − ∞ , ∞ ) R a n g e : ( 10 , ∞ ] Domain:\ \left(-\infty,\ \infty\right)\ Range:\ \left(10,\infty\right] D o m a i n : ( − ∞ , ∞ ) R a n g e : ( 1 0 , ∞ ]

D o m a i n : [ − 1 , 5 ] R a n g e : ( − ∞ , 10 ] Domain:\ \left[-1,\ 5\ \right]\ Range:\ \left(-\infty,10\right] D o m a i n : [ − 1 , 5 ] R a n g e : ( − ∞ , 1 0 ]

Find the domain and the range of the function.

Domain: [-2, 2] Range: [-2, 14]

Domain: (-2, 2] Range: [-2, 14)

Domain: [-2, 14] Range: [-2, 2]

Domain: (-2, 2) Range: (-2, 14)

TEST FUNCTION AND RELATIONS

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

8.F.A.1, HSF.IF.A.1, HSF-BF.A.1B

+2

Standards-aligned

Francisco Artuz

Used 60+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the relations below is a function?

{(2, 3), (3, 4), (5, 1), (5, 4)}

{(-2, 3), (3, 4), (6, 2), (9, 3)}

{(-2, 3), ( -3, 4), (6, 2), (-3, 3)}

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given the relation A = {(-5, 2), (6, 4), (3, 10), (x, 5)}. Which of the following values for x will make relation A a function?

6

3

8

-5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The graph of a relation is shown below. Is the relation a function?

Yes

No

Cannot be determined from a graph

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

4.

MULTIPLE CHOICE QUESTION

15 mins • 5 pts

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

D: {1, -3, -4,}
R: {0, 1, 2, -4}

D:{0, 1, 2, -4}
R:{1, -3, -4}

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

5.

MULTIPLE CHOICE QUESTION

15 mins • 5 pts

List the ordered pairs

Input and Output

(-1, 1), (-2, 1), (-3,2), (-4,2)

(1,1) (2,4)

(1,-1), (1,-2), (2,-3), (2,-4)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

All of the x values or inputs are called what?

Domain

Range

Relation

Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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TEST FUNCTION AND RELATIONS

20 questions

Which of the relations below is a function?

Given the relation A = {(-5, 2), (6, 4), (3, 10), (x, 5)}. Which of the following values for x will make relation A a function?

The graph of a relation is shown below. Is the relation a function?

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

List the ordered pairs

Is the relation a function? Why.

All of the x values or inputs are called what?

All of the y values or outputs are called what?

Which of the following is not a function?

Is this mapping a function or not a function?

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