Review of Functions

Function Vocab

100

Give two other names for the domain (three for a bonus 100 pts)

x-values, input, independent variable

200

Give two other names for the range (three for a bonus 200 pts)

y-values, output, dependent variable

300

An ordered pair looks like this.

(x, y)

400

A relation that assigns exactly one value in the range to each value in the domain?

What is a function?

500

How do you KNOW a relation is a function?

You can make a MAPPING DIAGRAM or use the VERTICAL LINE TEST, or check for REPEATED X VALUES

Evaluating Function Rules

100

Evaluate f(x)=-3x if x=2

What is -6?

200

Evaluate f(x)=2x+1 if x=-2

What is -3?

300

Evaluate f(x)=-3 - x if x=6

What is -9?

400

Evaluate f(x)=25 + 4x if x=5

What is 45?

500

Evaluate f(x)=-(4x+2) if x=7

What is -30

Writing Function Rules

100

Given the points write a function rule (0,-2);(1,-1); (2,0)

What is y=x-2?

200

Given the points write a function rule (0,0); (1,3); (2,6)

What is y=3x?

300

Given the points write a function rule (0,0); (2,1); (4,2)

What is y=x/2?

400

Given the points write a function rule 

(-1,4); (0,5); (1,6); (2,7)

What is f(x)=x+5

500

Given the points write a function rule 

(-1,-1); (0,1); (1,3); (2,5)

What is f(x)=2x+1?

Is it a Function?

100

Is it a function? {(2, 3), (4, 5), ( -2, 6)}

What is YES because x does not repeat?

200

Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?

Draw a mapping diagram to show it if you don't know the vertical line test.

What is False, the points fail the vertical line test

300

Is it a function?

x	y
2	4
1	5
2	6

What is NO because x repeats?

400

Is it a function?

What is YES because it passes the Vertical Line Test?

500

Is it a function?

What is NO because it does not pass the Vertical Line Test?