Free Printable Functions WH

1.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

2.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

3.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $f\left(g\left(3\right)\right)$

a)

34

b)

71

c)

35

d)

142

4.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

$\frac{7}{2}$

d)

8

5.

If $f\left(x\right)=x^2$ and $g\left(x\right)=\frac{1}{x^2}$ find $\left(f\circ g\right)\left(-1\right)$

a)

$\frac{1}{4}$

b)

$1$

c)

$-1$

d)

$-\frac{1}{4}$

6.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

7.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

8.

The inverse has been reflected over which line?

a)

y = x

b)

x = 0

c)

y = 0

d)

x = -y

9.

Which of the following is NOT TRUE about inverse functions?

a)

Inverse functions are reflections of each other over the line y = x.

b)

You find the inverse by switching x and y in the equation.

c)

The domain of a function always becomes the domain of its inverse.

d)

The domain of a function always becomes the range of its inverse.

10.

What are the missing values if g(x)=f^-1(x)?

a)

(9,-5)

b)

(-9,-5)

c)

(5,9)

d)

(-9,5)

11.

Which is f ^-1(x)?

a)

f^-1(x) = 5x + 3

b)

f^-1(x) = 5x - 3

c)

f^-1(x) = 5x - 15

d)

f^-1(x) = 1/5(x) + 3/5

12.

Which is f ^-1(x)?

a)

f^-1(x) = 3x + 5

b)

f^-1(x) = 3x - 5

c)

f^-1(x) = 3x - 15

d)

f^-1(x) = 3x + 15

13.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

14.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

15.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

16.

If f(x)=x+5, what is f^-1(x)?

a)

(x + 5)²

b)

x - 5

c)

(x + 5)^-1

d)

undefined

17.

If f(x)=3x, what is f^-1(x)?

a)

x/3

b)

3x²

c)

3x + 3x

d)

3x^-1

18.

What operation allows us to verify if functions are inverses?

a)

Multiplying

b)

Dividing

c)

Adding

d)

Composing

19.

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)

20.

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

a)

1

b)

-1

c)

2

d)

-2

21.

$f\left(x\right)=7x$
Find $f^{-1}\left(x\right)$

a)

$\frac{x}{7}$

b)

$\frac{7}{x}$

c)

$0.7x$

d)

$x\div\frac{1}{7}$

22.

$g\left(x\right)=\frac{x}{8}$
Find $g^{-1}\left(x\right)$

a)

$\frac{8}{x}$

b)

$8x$

c)

$\frac{1}{8}x$

d)

$x\div8$

23.

$g\left(x\right)=\frac{1}{3}x$
Find $g^{-1}\left(x\right)$

a)

$\frac{3}{x}$

b)

$3x$

c)

$\frac{x}{3}$

d)

$x\div3$

24.

Select the two functions which are inverses of each other:

a)

$x+10$

b)

$x-10$

c)

$\frac{x}{10}$

d)

$\frac{10}{x}$

25.

Select the two functions which are inverses of each other:

a)

$x-4$

b)

$4x$

c)

$\frac{x}{4}$

d)

$\frac{4}{x}$

26.

$f\left(x\right)=\frac{2x}{7}$
Find $f^{-1}\left(x\right)$

a)

$\frac{7x}{2}$

b)

$\frac{2}{7}x$

c)

$7x\times2$

d)

$2x\times7$

27.

$f\left(x\right)=\frac{x-2}{6}$
Find $f^{-1}\left(x\right)$

a)

$\frac{x-6}{2}$

b)

$6x+2$

c)

$2x+6$

d)

$6\left(x+2\right)$

28.

$f\left(x\right)=\frac{8x-3}{5}$
Find $f^{-1}\left(x\right)$

a)

$5\left(8x+3\right)$

b)

$\frac{5x}{8}+3$

c)

$\frac{5\left(x+3\right)}{8}$

d)

$\frac{5x+3}{8}$

29.

$f\left(x\right)=\frac{6x}{5}+3$
Find $f^{-1}\left(x\right)$

a)

$\frac{5x-3}{6}$

b)

$\frac{5\left(x-3\right)}{6}$

c)

$\frac{5x}{6}-3$

d)

$\frac{5x}{6}+3$

30.

$f\left(x\right)=\frac{3x+10}{7}$
Find $f^{-1}\left(x\right)$

a)

$7x-\frac{10}{3}$

b)

$\frac{7x}{3}-10$

c)

$\frac{7\left(x-10\right)}{3}$

d)

$\frac{7x-10}{3}$

31.

What is the inverse of the points
(1,3)(2,4)(6,8)

a)

(3,1)(4,2)(8,6)

b)

(-3,-1)(-4,-2)(-8,-6)

c)

(1,3)(2,4)(6,8)

d)

(-1,-3)(-2,-4)(-6,-8)

32.

If f^-1(-25) = 7 then what is f(7) =

a)

25

b)

7

c)

No enough information.

d)

-25

33.

If f(x) = 3x-9, what is f^-1(12)?

a)

25

b)

9

c)

11

d)

7

34.

Which one below is the domain and image set of the function?

a)

Domain: [1,3] Image: (2,5]

b)

Domain: (1,3] Image: [2,5]

c)

Domain: [1,3] Image: [2,5]

d)

Domain: [2,5] Image: [1,3]

e)

Domain: (2,5] Image: (1,3]

35.

Find f(-4), f(0), f(2) and f(3).

4 lines

36.

Which one below is f(-3)+f(2)?

a)

-2

b)

-1

c)

0

d)

1

e)

2

37.

Which one(s) below are true?

a)

$x=-2$ and $x=3$ are x-intercepts of the function.

b)

$y=-4$ is the y-intercept of the function.

c)

f\left(0\right)=-4

d)

The x-values which satisfy the equation f(x)=0 are $\left\{-2,3\right\}$

e)

Domain of the function f is $\left[-2,3\right]$

38.

$f\left(-2\right)+f\left(-1\right)+f\left(4\right)+f\left(10\right)=?$

a)

4

b)

5

c)

6

d)

10

e)

11

39.

Find $f^{-1}\left(5\right),\ \ f^{-1}\left(-4\right)$

4 lines

Functions WH

Total questions: 39

Worksheet time: 3hrs 15mins

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