Free Printable Unit 1

1.

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

2.

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

a)

2

b)

15

c)

7

d)

-9

3.

(f + g) (x)

a)

5x² + 3x

b)

4x² + 3x

c)

5x² - 3x

d)

4x² - 40x

4.

f(1) =

a)

-1

b)

1

c)

2

d)

-2

5.

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

a)

2

b)

15

c)

7

d)

-9

6.

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

a)

(3,0) , (2, -4) , (5,5) , (6,8)

b)

(0,3) , (-4,2) , (5,5) , (8,-6)

c)

(3,2), (0, -4), (5, -6), (5,8)

7.

Are these inverse functions?

a)

yes

b)

no

8.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

9.

Find the inverse of $f(x)=10+7x$

a)

$f^{-1}(x)=\frac{x-7}{10}$

b)

$f^{-1}(x)=\frac{x-10}{7}$

c)

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

10.

Find the inverse of $f(x)=4x$

a)

$f^{-1}(x)=\frac{x}{4}$

b)

$f^{-1}(x)=4$

c)

$f^{-1}\left(x\right)=\frac{1}{4}$

11.

Find the inverse of $f(x)=\frac{x-5}{3}$

a)

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

b)

$f^{-1}(x)=3x+5$

c)

$f^{-1}(x)=5x+3$

12.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

13.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

14.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

15.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

16.

What is the domain?

a)

$\left(\infty,-2\right]$

b)

$\left[-2,\ \infty\right)$

c)

[-2,3]

d)

$\left(-\infty,\ -2\right]$

e)

None of the answer choices

17.

What are the local maxima values of this graph?

a)

3.9

b)

5

c)

-8 and 2.2

d)

5 and 3.9

18.

What is the absolute maximum value?

a)

none

b)

3.9

c)

5

d)

0

19.

What are the local minima values of this graph?

a)

3.9

b)

-3.3, -2.5

c)

-2.5, 5

d)

0, -3.3, -2.5

20.

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

a)

15

b)

21

c)

12

d)

9

21.

a)

9 - √17

b)

4

c)

2

d)

√8

22.

a)

-1

b)

1

c)

-1/3

d)

-5/3

23.

a)

horizontal shift to the right 4 and vertical shift down 2

b)

horizontal shift to the left 4 and vertical shift up 2

c)

horizontal shift to the right 4 and vertical shift up 2

d)

horizontal shift to the left 4 and vertical shift down 2

24.

a)

horizontal shift to the right 2 and vertical shift up 4

b)

horizontal shift to the right 2 and vertical shift down 4

c)

horizontal shift to the left 2 and vertical shift up 2

d)

horizontal shift to the left 2 and vertical shift down 2

25.

If the blue graph is
f(x) = x²
then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

26.

a)

84

b)

92

c)

116

d)

64

27.

a)

30

b)

62

c)

14

d)

32

Unit 1

Total questions: 27

Worksheet time: 2hrs 37mins

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