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2.5-2.7 Quiz Review

Total questions: 28

Worksheet time: 1hrs 17mins

Name
Class
Date
1.
What is g(7) if:
a)

-17

b)

-13 

c)

13       

d)

17

2.
What is m(-3) if:    
a)

-3

b)

0.5

c)

3

d)

-3.5

3.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
4.

What is the RANGE of the function?

a)

All Real Numbers

b)

y ≤ 4

c)

y < 4

d)

0 < y < 4

5.

What is the DOMAIN of the function?

a)

All Real Numbers

b)

x ≤ 4

c)

x > 4

d)

0 ≤ x ≤ 4

6.

Abigail, Nora, and Sophia are at a farmers market. They see a sign at a fruit stall that says 'We use the greatest integer function for pricing'. They are puzzled about what this means. Can you help them understand? What is the definition of the greatest integer function?

a)

Abigail thinks the greatest integer function rounds a real number to the nearest odd integer.

b)

Nora believes the greatest integer function rounds a real number to the nearest even integer.

c)

Sophia argues that the greatest integer function rounds a real number down to the nearest integer.

d)

Or is it that the greatest integer function rounds a real number up to the nearest integer?

7.

Aiden is trying to model a real-world situation using an absolute value function. Which of the following equations could he use?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

8.

Sophia is planning a treasure hunt game for her friends. She has created a map where the distance from the starting point to the treasure is represented by the function:
y = -2|x - 3| + 5. Which graph correctly represents this function?

a)

A

b)

B

c)

C

d)

D

9.

Which function defines the graph?

a)

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

b)

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

c)

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

d)

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

10.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)

The line would be dotted with shading above.

c)
The line would be solid with shading below.
d)
None of these.
11.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
12.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
13.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
14.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤  2/5x + 1
d)
y ≥ -2/5x - 1
15.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
16.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
17.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
18.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
19.

How is the distance formula correctly written:

a)

d = (y1  y2)2 (x2  x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\

b)

d = (x2  x1)2 + (y2  y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}

c)

d = (y1  y 2)2 + (x2  x1)2d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2

d)


d=(x)2 (y)2d=\sqrt{\left(x\right)^2-\ \left(y\right)^2}

20.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
21.

What is the distance between (-3, 2) and (5, -1)

a)

11

b)

8.5

c)

1.7

d)

7.3

22.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
23.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
24.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

25.

What is the Domain?

a)

-10 < x < 3

b)

-6 < x < 1

c)

-10 < y < 1

d)

-6 < x < 3

26.

What is the Range?

a)

-5 < y < 5

b)

-5 < y < 7

c)

-7 < x< 5

d)

-5 < x < 7

27.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

28.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2