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Unit 1 Test Review

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Last updated 6 months ago
38 questions
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Question 1
1.

Write the slope-intercept form of the equation of the line through the points (-5,2) and (0,-4)

Answer the following questions about the graph of f(x) and write the piecewise function for f(x).

1
Question 2
2.

What is the value of f(-2)?

1
Question 3
3.

f(x)=7 at x=?
Write answer as x=# or x=#,#

1
Question 4
4.

What is the domain of f(x) in interval notation?

1
0
Graph the piecewise function.
0
Question 7
7.

Graph the piecewise function.

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1
1
1
1
Given f(x)=-|x-2|+3
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Question 13
13.

What is the vertex?

1.5
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Question 15
15.

Find f(-3).

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Question 16
16.

What is the range in interval notation?

Question 17
17.

Solve the equation. Check for extraneous solutions.

\frac{|2x-9|}{7}=5

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 18
18.

Solve the equation. Check for extraneous solutions.

6|8x+9|=90

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 19
19.

Solve. Write answer in interval notation.
|-x-5|-4<9

Question 20
20.

Solve. Write answer in interval notation.
|4x+9|-9\ge-48

Question 21
21.

Solve. Write answer in interval notation.
-5-|2+7x|>0

Question 22
22.

Solve. Write answer in interval notation.
-7+|-x-3|>-5

Question 23
23.

Factor

Question 24
24.

Factor completely

Question 25
25.

Factor

Question 26
26.

Factor

Question 27
27.
Graphing Absolute Value Quadratics

f(x)=|(x+3)^{2}-9|

What is the vertex? _______
State the x-intercepts. Format answers as (#,#),(#,#)_______
State the y-intercept_______
Question 28
28.

Find the inverse of the points below:
{(6,2),(-3,5),(4,-1),(0,9),(-2,-1)}
Write the points in order from left.

Format answer with no spaces:
(#,#),(#,#),(#,#),(#,#)

Question 29
29.

Find the inverse of the function below:
f(x)=8x+1

Be sure to include

Question 30
30.

Find the inverse of the function below:
g(x)=\frac{5}{x-3}+7

Be sure to include

Graph the function and its inverse. State the domain and range of the function and its inverse.
f(x)=(x-3)^{2}-4
1
Question 31
31.

State the DOMAIN of the inverse

1
Question 32
32.

State the RANGE of the inverse

Graph the function and its inverse. State the domain and range of the function and its inverse.

g(x)=\sqrt[3]{x+5}-2
1
Question 33
33.

State the INVERSE function. Be sure to include

1
Question 34
34.

State the DOMAIN of the inverse

1
Question 35
35.

State the RANGE of the inverse

Evaluate using the table.
1
Question 36
36.

-5f(-3)

1
Question 37
37.

f(-1(2))

1
Question 38
38.

If f(x)= 14, x=

Question 5
5.

What is the range of f(x) in interval notation?

Question 6
6.

Write a piecewise function for f(x).

Question 8
8.

What is the domain of g(x) in interval notation?

Question 9
9.

What is the value of g(6)?

Question 10
10.

What is the value of g(2)?

Question 11
11.

What is the range of g(x)?

Question 12
12.

What is the value of g(x)=0?
Write answer as x=# or x=#,#

Question 14
14.

What are the transformations?