Review of Relations and Functions

Function Vocab

100

True or False-A relation is a set of ordered pairs

TRUE

200

The set of first coordinates of a relation or a function

Domain, input, indeppendent variable

300

The set of second coordinates in a relation or a function

range, output, dependent variable

400

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

Function

500

The test to tell if a graph is a function

Vertical Line Test

Evaluating Function Rules

100

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

-6

200

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

-3

300

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

 -9

400

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

 45

500

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

 -30

Relations

100

State the domain of the function {(4,-2),(-1,1),(2,-3),(3,0)}

{4,-1,2,3}

200

State the range of the function {(4,-2),(-1,1),(2,-3),(3,0)}

{-2,1,-3,0}

300

Find the domain and range of {(-1,5),(2,3),(4,2),(-1,2)}

Domain {-1,2,4} and range {5,3,2}

400

Find the domain and range of {(-3,4),(0,10),(11,8),(4,5)}

 {-3,0,11,4} and  range {4,10,8,5}

500

Find the domain and range of {(-5,8),(-5,4),(6,9),(3,10)}

domain {-5,6,3} and range {8,4,9,10}

Is it a Function?

100

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

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?

False, the points fail the vertical line test

300

Is it a function?

x	y
2	4
1	5
2	6

NO because x repeats

400

Is it a function?

YES because it passes the Vertical Line Test

500

Is it a function?

 NO because it does not pass the Vertical Line Test