Free Printable Functions ZB

1.

a)

Function

b)

Not a Function

2.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

3.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

4.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

5.

Is this table a function or not a function?

a)

Function

b)

Not a Function

6.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

7.

Which expression represents g(f(x)) if f(x) = 2x - 8
and
g(x) = 4x

a)

8x - 32

b)

8x² - 32x

c)

8x - 8

d)

6x - 8

8.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

9.

The composition of any function, f(x), and
its inverse, f^-1(x) =

a)

x

b)

f(x)

c)

1

d)

0

10.

Find the inverse of f(x) = x² - 5

a)

f^-1(x) = √(x) + 5

b)

f^-1(x) = ∛(x-5)

c)

f^-1(x) = ±√(x+5)

d)

f^-1(x) = x² - 5

11.

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

a)

g(f(x))= -6x²+31

b)

g(f(x))= -6x²+24

c)

g(f(x))=18x²-84x+90

d)

g(f(x))=9x²-42x-41

12.

Are the following inverses of each other?

a)

True

b)

False

13.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

14.

Are the blue and red graphs inverse functions?

a)

yes

b)

no

c)

no way to tell

15.

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

a)

g(-2) = 0

b)

g(1) = 1

c)

g(-2) = -3

d)

g(-1) = 2

16.

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

17.

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

18.

Which of the following is not a self-inverse function?

a)

$y=\sqrt{x}$

b)

$y=x$

c)

$y=\frac{1}{x}$

d)

$y=-\frac{1}{x}$

19.

a)

$g\left(x\right)\pm\sqrt{x+2}$

b)

$g\left(x\right)=x$

c)

$g\left(x\right)=\sqrt{x}+2$

d)

$g\left(x\right)=x-1$

20.

a)

$y\ne1$

b)

$y\ne0$

c)

$y\ge1$

d)

$y>0$

21.

a)

$f^{-1}\left(x\right)=x^2-4x+1,\ \ x\ge2$

b)

$f^{-1}\left(x\right)=-x^2+4x-1,\ \ \ x\ \epsilon\ R$

c)

$f^{-1}\left(x\right)=x^2-4x+1,\ \ x\ \epsilon\ R$

d)

$f^{-1}\left(x\right)=-x^2+4x-1,\ \ \ \ x\le2$

22.

a)

-0.5

b)

-0.75

c)

1

d)

2.5

23.

a)

1

b)

0.37

c)

3

d)

0.5

24.

a)

$f\left(x\right)\le4$

b)

$f\left(x\right)\ge4$

c)

$f\left(x\right)>2$

d)

$f\left(x\right)\le-2$

Functions ZB

Total questions: 24

Worksheet time: 3575secs

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