Free Printable Unit 1 - Algebra 2

1.

What family of function is this?

a)

Square root

b)

Reciprocal

c)

Exponential

d)

Quadratic

2.

What family of function is this?

a)

Reciprocal

b)

Exponential

c)

Square Root

d)

Cubic

3.

a)

Square Root

b)

Cubic

c)

Cube Root

d)

Absolute Value

4.

What family of function is this?

a)

Absolute Value

b)

Logarithmic

c)

Linear

d)

Cube Root

5.

What family of function is this?

a)

Logarithmic

b)

Linear

c)

Absolute Value

d)

Quadratic

6.

What family of function is this?

a)

Linear

b)

Logarithmic

c)

Quadratic

d)

Exponential

7.

What function family do I belong to?

a)

Linear

b)

Exponential

c)

Quadratic

d)

Absolute Value

8.

Which of the following functions is exponential?

a)

$f\left(x\right)=3x^3$

b)

$f\left(x\right)=x^3$

c)

$f\left(x\right)=3x$

d)

$f\left(x\right)=3^x$

9.

Which of the following functions is quadratic?

a)

$f\left(x\right)=2x^2$

b)

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

c)

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

d)

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

10.

Which is the parent function of the graph?

a)

f(x) = log x

b)

f(x) = x³

c)

f(x) = 1 ∕ x

d)

f(x) = ∛x

11.

Which type of function is the graph?

a)

Absolute Value

b)

Rational

c)

Exponential

d)

Logarithmic

12.

Which graph represents

y = |x + 3| − 4 ?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

13.

Which of the graphs could represent the graph of y = − (x − 3)² ?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

14.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

15.

What is the domain of this function?

a)

(-∞,2]

b)

(-∞,+∞)

c)

[2,-∞)

d)

(-4,2)

16.

Name the parent function:

a)

cube root

b)

square root

c)

quadratic

d)

linear

17.

Describe the transformation: f(x - 5)

a)

vertical shift up 5

b)

vertical shift down 5

c)

horizontal shift right 5

d)

horizontal shift left 5

18.

-f(x) - 2

a)

reflection over y-axis, shift down 2

b)

reflection over y-axis, shift right 2

c)

reflection over x-axis, shift right 2

d)

reflection over x-axis, shift down 2

19.

reflection over y-axis, shift right 1

a)

f(-x - 1)

b)

-f(x + 1)

c)

-f(x) - 1

d)

-f(x - 1)

20.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

21.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

22.

h(x) = -4x + 3

g(x) = 4x - 2

Find h(g(6))

a)

-107

b)

107

c)

-85

d)

85

23.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

24.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x²-1

d)

5x²-5

25.

Given f and g in the graph,

what is f(g(2)) ?

a)

3

b)

8

c)

1

d)

4

26.

What is the RANGE of the following function?

a)

All Real Numbers, (-∞,∞)

b)

Y ≠ -2

c)

Y ≠ 4

d)

Y>-2 , (-2,∞)

27.

Determine the DOMAIN for the following graph:

a)

X > 2 , (2,∞)

b)

Y ≥ -3 , [-3,∞)

c)

X ≤ 2 , (-∞,2]

d)

All Real Numbers, (-∞,∞)

28.

Determine the DOMAIN for the following graph:

a)

X < 2 , (-∞,2)

b)

All Real Numbers, (-∞,∞)

c)

X ≥ -2 , [-2,∞)

d)

Y ≤ -2 , (-∞,-2]

29.

Determine the RANGE for the following graph:

a)

All Real Numbers, (-∞,∞)

b)

X ≥ 3 , [3,∞)

c)

Y ≥ -3 , [-3,∞)

d)

Y ≤ 3 , (-∞,3]

30.

Determine the DOMAIN for the following graph:

a)

X ≥ 2 , [2,∞)

b)

Y ≥ 4 , [4,∞)

c)

All Real Numbers, (-∞,∞)

d)

0 ≤ X < ∞ , [0,∞)

31.

a)

f(x) = −(x−2)³−1

b)

f(x) = −(x+2)³−1

c)

f(x) = −(x−2)³ + 1

d)

f(x) = −(x+2)³ + 1

32.

Which equation represents this graph.

a)

f(x)=(x - 4)² - 3

b)

f(x)=-(x - 4)² + 3

c)

f(x)=(x - 4)² + 3

d)

f(x)=-(x + 4)² + 3

33.

Find g(h(3))

a)

1

b)

2

c)

3

d)

4

34.

Find f(g(2)).

a)

1

b)

2

c)

3

d)

4

35.

Find g(f(-2)).

a)

0

b)

-4

c)

4

d)

2

36.

Find g(f(2)).

a)

2

b)

6

c)

0

d)

1

37.

Find f(g(3)).

a)

0

b)

1

c)

6

d)

3

38.

Which is the inverse of the table?

a)

b)

c)

d)

39.

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

a)

$\frac{x-5}{1}$

b)

$\frac{x}{5}-1$

c)

$x-\frac{1}{5}$

d)

$\frac{x-1}{5}$

40.

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)

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

41.

Find the inverse function

a)

b)

c)

d)

42.

Find the inverse function

a)

b)

c)

d)

43.

|x-3|=40

a)

x = 43, x = -37

b)

x = 43, x = -43

c)

x = -43, x = 37

d)

x = 43

44.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

45.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

46.

3| −8x| + 8 = 80

a)

{-7/3, 7/3}

b)

{-3,3}

c)

{11/3,-11/3}

d)

No Solution

47.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

48.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

Unit 1 - Algebra 2 - Spiral Back Review

Total questions: 48

Worksheet time: 2hrs 24mins

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