Free Printable A2 Unit 1A Review

1.

Express the following in Interval Notation

-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

2.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

3.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

4.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

5.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

d)

(-5, ∞)

6.

Which graph has a y-intercept above the x-axis?

Cual grafica tiene un y-intercept arriba del x-axis?

SELECT ALL THAT APPLY

a)

A

b)

B

c)

C

d)

E

e)

F

7.

Which graph has a zero at x=0 & x=4?

Cual grafica tiene un zero en x=0 & x=4?

SELECT ALL THAT APPLY

a)

G

b)

I

c)

D

d)

E

e)

F

8.

Which graph has no zeros?

Cual grafica tiene no tiene zeros?

SELECT ALL THAT APPLY

a)

C

b)

I

c)

D

d)

E

e)

F

9.

Which graph has a maximum value at y=4?

Cual grafica tiene un maximum at y=4?

SELECT ALL THAT APPLY

a)

A

b)

I

c)

B

d)

E

e)

F

10.

Which graph has a minimum?

Cual grafica tiene un minimum?

SELECT ALL THAT APPLY

a)

H

b)

B

c)

C

d)

E

e)

G

11.

Which graph has an axis of symmetry at x=2?

Cual grafica tiene un axis de simmetria en x=2?

SELECT ALL THAT APPLY

a)

A

b)

B

c)

G

d)

H

e)

I

12.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

13.

What is the RANGE?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

14.

What is the range?

a)

(-4,5]

b)

[-4,5)

c)

(-3,3)

d)

[-3,3]

15.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

16.

What is the domain of this function?

a)

All Real Numbers

b)

-1 ≤ x ≤ 1

c)

-1 ≤ f(x) ≤ 1

d)

2

17.

What is the range of this function?

a)

All Real Numbers

b)

-1 ≤ x ≤ 1

c)

-1 ≤ f(x) ≤ 1

d)

1 ≥ x

18.

What is the increasing interval for the function below?

a)

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

b)

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

c)

$\left(-\infty,6\right]$

d)

$\left(-6,6\right)$

19.

Where is the function increasing?

a)

y≤1

b)

y≥1

c)

y≥-2

d)

y≤-2

20.

Where is the function decreasing?

a)

y≤1

b)

y≥1

c)

y≤2

d)

y≥2

21.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

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

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

22.

Where is the function decreasing?

a)

$\left(-\infty,-1\right)$

b)

$\left(-1,\infty\right)$

c)

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

d)

$\left(3,\infty\right)$

23.

Where is the function increasing?

a)

\left(1,\infty\right)

b)

$\left(2,\infty\right)$

c)

$\left(-\infty,1\right)$

d)

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

24.

What is the increasing interval on the function shown?

a)

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

b)

$\left(-\infty,\ -4\right)$

c)

$\left(-4,\ \infty\right)$

d)

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

25.

What are the x-intercepts of this function?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

26.

Write the interval that represents the negative portion of the function?

a)

(-2,1)

b)

(-0.5,-3.5)

c)

$\left(-\infty,-2\right);\ \left(1,\infty\right)$

d)

(-3,0)

27.

Where is the function positive?

a)

Nowhere

b)

(0.5, 2)

c)

(-3, 0.5); (2, 5]

d)

$\left(-\infty,0.5\right)\ and\ \left(2,\infty\right)$

28.

Where is the function positive?

a)

(-∞,5]

b)

$\left(0,\ \infty\right)$

c)

(-∞,2]

d)

(-∞,0)

29.

Where is the function negative?

a)

(-∞,1)

b)

(-∞,∞)

c)

(1,∞) and (-∞,1)

d)

(-1,∞)

30.

x-intercepts are also called:

Choose ALL that apply!

a)

Solutions

b)

Roots

c)

Zeros

d)

Parabolas

e)

Puppies

31.

Does this graph have a minimum or maximum? What point?

a)

minimum at (-3, -5)

b)

minimum at (3, 5)

c)

maximum at (-3, -5)

d)

maximum at (3, 5)

32.

Does this graph have a minimum or maximum? What point?

a)

Minimum at (0, 0)

b)

Minimum at (0, 2)

c)

Maximum at (0, 0)

d)

Maximum at (0, 2)

33.

What is the x-intercept(s)?

a)

(0, 6)

b)

(6, 0)

c)

(2, 1)

d)

There is no x-intercept.

34.

What is the y-intercept?

a)

(0, 5)

b)

(5, 0)

c)

(0, -5)

d)

(-5,0)

35.

What is the y-intercept?

a)

(-11, 0)

b)

(0, -11)

c)

(11, 0)

d)

(0, 11)

36.

What is the x-intercept for the given graph?

a)

1

b)

-2

c)

2

d)

1/2

37.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

38.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-4\right|$

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

39.

Describe the transformation of the equation below from the absolute value parent function.

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

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

40.

Choose the equation that best matches the graphed function.

a)

$f(x)=|x|+2$

b)

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

c)

$f(x)=-|x|$

d)

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

41.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x\right|+3$

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

42.

Write the equation for an absolute value function that shifts down 9 from the parent function, $y=\left|x\right|$ .

a)

$y=|x|-9$

b)

$y=|x-9|$

c)

$y=-9|x|$

d)

$y=|x|+9$

43.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-1\right|+5$

a)

left 1, up 5

b)

left 1, down 5

c)

right 1, up 5

d)

right 1, down 5

44.

Choose the graph that matches the equation.

$y=|x-1|$

a)

b)

c)

d)

45.

What is the parent function for absolute values?

a)

$y=x$

b)

$y=|x|$

c)

$y=x^2$

d)

$y=2x$

46.

Describe the transformation of the equation below from the absolute value parent function.

$y=|x|+10$

a)

Shifted left 10

b)

Shifted right 10

c)

Shifted up 10

d)

Shifted down 10

47.

What is the equation of the function in the graph?

a)

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

b)

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

c)

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

d)

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

48.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

49.

What is f(-2)?

a)

4

b)

1

c)

1

d)

DNE

50.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

51.

Evaluate f(0)

a)

0

b)

19

c)

9

d)

-19

52.

Functions that are made up of distinct "pieces" of other functions defined over different intervals are called

a)

Absolute Value Functions

b)

Piecewise Functions

c)

Exponential Functions

d)

Quadratic Functions

53.

Graph

a)

b)

c)

d)

54.

Match the graph with the correct equation.

a)

b)

c)

d)

55.

Match the graph with the correct equation.

a)

b)

c)

d)

56.

Match the graph with the correct equation.

a)

b)

c)

d)

A2 Unit 1A Review

Total questions: 56

Worksheet time: 2hrs 19mins

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