Free Printable Make up Work Algebra 2 First 6 weeks

1.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

2.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

3.

Determine the interval in which this function is INCREASING.

a)

(-4, ∞)

b)

(-3, ∞)

c)

(∞, -3)

d)

(-∞, -4)

4.

Determine the interval in which this function is DECREASING.

a)

(-3, ∞)

b)

(-3, ∞)

c)

(-∞, -4)

d)

(-∞, -3)

5.

Determine the interval of this function's DOMAIN.

a)

(-5, -1)

b)

(-∞, ∞)

c)

No solution

d)

(-∞, -3)

6.

Determine the interval of this function's RANGE.

a)

[-4, ∞)

b)

(-3, ∞)

c)

No solution

d)

(-∞, -4]

7.

Identify the increasing interval:

a)

(0, 4)

b)

(1, 0) U (1, 4)

c)

(-1, 1)

d)

(-∞, -1) U (1, ∞)

8.

State the relative maximum value.

a)

$5$

b)

$9$

c)

$4$

d)

$1$

9.

What is f(0)?

a)

$-1$

b)

$2$

c)

$4$

d)

$-5$

10.

When is the function decreasing?

a)

(30, 55)

b)

(40, 60)

c)

(15, 40)

d)

(60, -40)

11.

The function is decreasing.

a)

Trick

b)

True

12.

What are the x-intercepts of the graph?

a)

(2, 0)

b)

(0, -2)

c)

(-1.225, -4.25) and (1.225, -4.25)

d)

(-1.887, 0) and (1.887, 0)

13.

What is the y-intercept of the graph?

a)

(-2,5)

b)

(1,0)

c)

(0,1)

d)

(-3.104, 0)

14.

Which ordered pair could represent a y-intercept?

a)

(-1, 0)

b)

(2, 4)

c)

(0,4)

d)

(-2, 4)

15.

Which best describes the increasing and decreasing of the graph?

a)

Decreasing and then increasing

b)

Increasing and then decreasing

c)

Increasing Only

d)

Decreasing Only

16.

What is the RANGE?

a)

all real numbers

b)

[1, ∞)

c)

(-∞, 1]

d)

none of these

17.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

18.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

19.

What is the range?

a)

-7 ≤ y ≤ 5

b)

-9 ≤ y ≤ 3

c)

-5.5 ≤ y ≤ -0.5

d)

-∞ ≤ y ≤ 5

20.

What type of shape is an absolute value function?

a)

Line

b)

V

c)

U

d)

Z

21.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

22.

l-4l

a)

-4

b)

0

c)

4

d)

-0

23.

Which has the same absolute value as -55?

a)

0

b)

-1

c)

1

d)

55

24.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

25.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

26.

What is the absolute value of |572|.

a)

275

b)

-572

c)

57

d)

572

27.

Absolute Value Equation:

a)

An equation that contains an absolute value

expression.

b)

An unproven statement that is based on

observations

c)

A statement that two expressions are equal.

d)

An unproven statement that is based on

observations.

28.

What is the opposite of zero?

a)

1

b)

-1

c)

0

29.

-3 and 3 are opposites .
True or False?

a)

True

b)

False

30.

What's a way to define absolute value?

a)

The value of a number

b)

The opposite of a number

c)

The distance of a number from zero

d)

The multiplicative inverse of a number

31.

∣-5∣ _____ ∣5∣

a)

<

b)

>

c)

=

32.

What do you know about distance?

a)

It can never be negative

b)

It can never be positive

33.

The opposite of a negative is always a ___________

a)

positive

b)

negative

c)

absolute value

d)

inequality

34.

Which describes all of the transformations of g(x) from the parent function? Choose all that apply.

g\left(x\right)=\left|x-1\right|+2

a)

Right 1

b)

Left 1

c)

Down 1

d)

Up 2

e)

Left 2

35.

Which of the following functions have been inverted, stretched and moved up when compared to the parent function?

a)

$f\left(x\right)=-\frac{1}{4}\left|x\right|+6$

b)

$g\left(x\right)=8\left|x-2\right|$

c)

$h\left(x\right)=-5\left|x+4\right|$

d)

$m\left(x\right)=\frac{1}{3}\left|x\right|-1$

e)

$p\left(x\right)=-7\left|x\right|+9$

36.

Which is the equation of the graphed function?

a)

$f\left(x\right)=2\left|x-1\right|+3$

b)

$f\left(x\right)=\frac{1}{2}\left|x-1\right|+3$

c)

$f\left(x\right)=2\left|x+1\right|+3$

d)

$f\left(x\right)=\frac{1}{2}\left|x+1\right|+3$

e)

$f\left(x\right)=\left|x-1\right|+3$

37.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

38.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

39.

What is the equation of the graph below?

a)

f(x) = - I x + 2 I

b)

f(x) = - I x - 2 I

c)

f(x) = I x + 2 I

d)

f(x) = I x - 2 I

40.

What shifts have occurred?

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, down 5

d)

right 1, up 5

41.

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

a)

Left 4
up 9

b)

Left 4
Down 9

c)

Right 4
up 9

d)

Right 4
Down 9

42.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

43.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

44.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3
x = -6

c)

x = 3
x = -12

d)

x = 6
x = -12

45.

What's the name of the inverse of g(x)?

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

46.

What is the first step in finding the equation of the inverse of a function?

a)

get x by itself

b)

switch x and y

c)

solve for y

d)

write the function in inverse function notation

47.

Find the inverse of f(x) = 3x +8

a)

f^-1(x) = 3(x-8)

b)

f^-1(x) = (8x-1)/3

c)

f^-1(x) = (x-8)/3

d)

f^-1(x) = (x+8)/3

48.

Suppose you are given a table of values. When creating a table for the inverse graph you must...?

a)

Switch the x and y

b)

Solve for x

c)

Plot the coordinates

d)

Potato

Make up Work Algebra 2 First 6 weeks

Total questions: 48

Worksheet time: 4hrs 0mins

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