Review of Functions

Function Vocab

100

The set of second coordinates in a relation or a function

Range

200

The set of first coordinates of a relation or a function

Domain

300

Another name for the coordinates (0,0) would be the ________

Origin

400

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

Function

500

The name of the test used to determine whether a graph is a function or not is called __________.

Vertical Line Test

Evaluating Function Rules

100

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

(-3)

200

Evaluate f(x)=-3 - x + 7x if x=6

(+33)

300

Simplify: 3[(8-5+2)-(3x4)]

(-21)

400

Solve for x: 14 - 3x = (-16)

x=10

500

A cinema charges $8 for children under 12, $12 for people aged 12 to 64, and $10 for seniors aged 65 and older. Write a piecewise function P(a) to represent the price (P) based on age (a).

         (8 if a <12)

P(a)=(12 if 12 ≤ a <65)

         (10 if a ≥ 65)

Graphing

100

The point (1,2) is in this quadrant ___

1st quadrant

200

The signs of the points in quadrant 2

(- , +)

300

What quadrant is the point (-110,2) in?

second quadrant

400

The quadrant that doesn't contain one of these points (-2,3), (3,-4) (2,3)

third quadrant

500

Name three ways to show a relation

Ordered pairs, graph, table

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?

NO. because it will hit the line twice.

300

Is it a function?

x	y
2	4
1	5
2	6

NO because x or the domain repeats

400

A function is a special type of relation where every ___ value has exactly one output, or ___ value.

x (domain), y (range)

500

Determine if the following relation is a function. Explain why or why not. {(9, 0), (3, 0), (2, 2), (-3, -4)}

YES