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Unit 1 Test Review

Last updated 4 months ago
38 questions
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

What is the value of f(-2)?

1

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

1

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

1

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

0

Write a piecewise function for f(x).

Graph the piecewise function.
0

Graph the piecewise function.

1

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

1

What is the value of g(6)?

1

What is the value of g(2)?

1

What is the range of g(x)?

1

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

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

What is the vertex?

1.5

What are the transformations?

1

Find f(-3).

1

What is the range in interval notation?

1

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

1

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

1

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

1

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

1

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

1

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

1

Factor

1

Factor completely

1

Factor

1

Factor

1.5
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_______
1

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:
(#,#),(#,#),(#,#),(#,#)

1

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

Be sure to include

1

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

State the DOMAIN of the inverse

1

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

State the INVERSE function. Be sure to include

1

State the DOMAIN of the inverse

1

State the RANGE of the inverse

Evaluate using the table.
1

-5f(-3)

1

f(-1(2))

1

If f(x)= 14, x=