Free Printable P4Exam Alg2 Functions Rat. Exponents Complex Numbers

1.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

2.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

3.

All of the x values or inputs 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 graph a function or not a function?

a)

Function

b)

Not a Function

6.

Is this table a function or not a function?

a)

Function

b)

Not a Function

7.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

8.

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

a)

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

b)

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

c)

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

9.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

10.

If f(x)=2(3^x)+1, what is the value of f(2)?

(Substitute and be careful with order of operations)

a)

19

b)

37

c)

13

d)

20

11.

Given that h(x)=x³-2, evaluate h(4)

a)

62

b)

10

c)

64

d)

12

12.

Which equation describes the graph?

a)

f(x)=-4x-2

b)

f(x)=-2x+4

c)

f(x)=4x-2

d)

f(x)=4x+2

13.

Which equation represents the line that passes through the point (1,5) and has an undefined/no slope?

a)

x=1

b)

x=5

c)

y=1

d)

y=5

14.

What is the RANGE?

a)

{-3, 3]

b)

all real numbers

c)

[-4, 5]

d)

[-4, ∞)

15.

What is the DOMAIN?

a)

[0, ∞)

b)

(-∞, 0)

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

16.

What is the range of the function?

a)

[-1, +∞)

b)

(-1,1)

c)

[1.5, +∞)

d)

(-2, 2)

17.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

18.

Which function is graphed?

a)

f(x) = 2|x + 2| -4

b)

f(x) = 2|x - 4| + 2

c)

f(x) = |x + 2| - 4

d)

f(x) = -2|x - 4|

19.

Which function is graphed?

a)

f(x) = -3|-x + 1| + 4

b)

f(x) = -|x - 1| + 4

c)

f(x) = -5|x + 1| + 4

d)

f(x) = -3|x - 4| + 1

20.

What is the formula for ARC?

a)

y₂-y₁ / x₂-x₁

b)

x₂-x₁ / y₂-y₁

21.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

22.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

23.

Average Rate of Change is also known as...

a)

y-intercept

b)

x-intercept

c)

linear

d)

slope

24.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

25.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

26.

What are the transformations for the graph of
the parent function f(x) = √x to the function above

a)

Vertical Stretch by a factor of 2; translated down 5 units

b)

Shifted right 2 units and down 5 units

c)

Vertical stretch by a factor of 2; translated left 5 units

d)

Vertical stretch by a factor of 2; translated right one unit

27.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

a)

f(x) = |2x + 1| - 9

b)

f(x) = |2x - 1| - 9

c)

f(x) = 2|x + 1| - 9

d)

f(x) = 2|x - 1| - 9

28.

If (2, 3) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = f(x + 1) + 3

a)

(3 , 6)

b)

(1 , 6)

c)

(5 , 0)

d)

(-1 , 0)

29.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

30.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

31.

a)

b)

c)

d)

32.

a)

b)

c)

d)

33.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

34.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

35.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

36.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

37.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

38.

Simplify:
(7 + 2i)(9 - 6i)

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

39.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

40.

Simplify
√-25

a)

-5i

b)

5

c)

5i

d)

-5

41.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

42.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

43.

Multiply
(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

44.

i⁵²

a)

i

b)

-i

c)

1

d)

-1

45.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

46.

What complex number is represented by the graph?

a)

-3-i

b)

-3+i

c)

1+3i

d)

1-3i

47.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

48.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

49.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

50.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

51.

Simplify the following expression:

a)

16

b)

32

c)

40

d)

64

52.

Simplify:

a)

2

b)

4

c)

16

d)

64

53.

Simplify:

a)

6

b)

12

c)

36

d)

432

54.

Simplify . Your answer should contain only positive exponents. $\left(x^{\frac{5}{3}}y^{-2}\right)^0$

a)

$1$

b)

$\frac{x^{\frac{5}{3}}}{y^2}$

c)

$x^{\frac{5}{3}}y^2$

d)

$\frac{y^2}{x^{\frac{5}{3}}}$

55.

Simplify . Your answer should contain only positive exponents. $\frac{a^2b^0}{3a^4}$

a)

$1$

b)

$\frac{1}{3a^2}$

c)

$\frac{a^2}{3a^4}$

d)

$\frac{1}{3a^4}$

56.

Simplify . Your answer should contain only positive exponents. $\frac{\left(m^2n^{\frac{1}{2}}\right)^0}{n^{\frac{3}{4}}}$

a)

$1$

b)

$n^{\frac{3}{4}}$

c)

$\frac{1}{n^{\frac{3}{4}}}$

d)

$\frac{1}{n^{\frac{4}{3}}}$

57.

Simplify . Your answer should contain only positive exponents. $\left(6b\right)^{\frac{-4}{3}}$

a)

$\frac{1}{6^{\frac{4}{3}}b^{\frac{4}{3}}}$

b)

$\frac{6}{b^{\frac{4}{3}}}$

c)

$\frac{b^{\frac{4}{3}}}{6}$

d)

$\frac{6^{\frac{4}{3}}}{b^{\frac{4}{3}}}$

58.

Simplify.

a)

3n²

b)

9n⁶

c)

18n⁶

d)

9n³

59.

Solve for n.

a)

n = 25

b)

n = 5

c)

n = -25

d)

n = -5

60.

Which equation moves 4 down and left 3?

a)

$y=\sqrt{x-4}+3$

b)

$y=\sqrt{x+4}-3$

c)

$y=\sqrt{x-3}-4$

d)

$y=\sqrt{x+3}-4$

P4Exam Alg2 Functions Rat. Exponents Complex Numbers

Total questions: 60

Worksheet time: 44mins

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