Unit 2 Review: Functions (Algebra 1)

Analyzing Functions

100

A set of all the x-values.

What is domain?

200

The set of all y-values.

What is range?

300

What is the range of the following relation? {(5,-2),(-3,-2),(0,-2),(-2,-2)}

What is {-2}?

400

What is the domain of the following relation? {(5,-2),(-3,-2),(0,-2),(-2,-2)}

What is {-3,-2,0,5}?

500

What is the range of the function below? y = 3x {Domain: 0,1,2,3,4)}

What is {0,3,6,9,12}?

Evaluating Fuctions

100

F(x) = 3x + 4, evaluate F(2)

What is F(2) = 10

200

F(3) = 5x - 2, evaluate F(3)

What is F(3) = 13

300

F(x) = -x - 10, evaluate F(4)

What is F(4) = -14

400

f(x) = 3x² - x + 2 

Find f(-1)

What is f(-1) = 6

500

Given g(x) = -x²- 12, what is g(3)? 

g(3) = -21

Function Definition

100

If you use the vertical line test and it intersects the graph and more than on place, is the graph a function?

What is No?

200

Is the following relation a function? {(0,2),(-1,3),(3,2),(-4,5)}

What is yes?

300

Draw a mapping that is NOT a function. 

Answers vary

400

A graph, table or mapping that shows no repeated x-values.

What is a function?

500

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Linearity

100

A graph that is a straight line is considered?

What is a linear Function?

200

Assuming linearity, complete the following table. 

x.           f(x)

-2           0

0             5

2             ____

What is 10? 

300

Choose which of the following is NOT a linear function.

x+y = 12

y+2 = 3x - 7

x² - 1 = y

What is x² - 1 = y?

400

Assuming linearity, complete the following table:

x                 f(x)

0                  -2

1                  -4

3                   -8

5                  ____                 

 What is -12? 

500

Complete the table for the function

f(x) = -2x + 5

x    f(x)

0

1

3

5

What is: 

f(x)

5

3

-1

-5