Representing Functions

Section 9-1

InputsIndependentDomainX-value

OutputsDependentRangeY-value

Function Vocabulary

Table◦ Find finite differences (ratios) to find rate-of-

change (slope).◦ Graph points as ordered pairs and look for

patterns.

Graph◦ Identify key points to help write an equation.◦ Create a table from several points (ordered pairs).◦ Use slope and intercepts to write a verbal

description.

Translating between Reps

Equation (Use your calculator.)◦ Make a table of values. ◦ Make a graph.

Verbal Description◦ Identify independent and dependent variables

and write an equation.◦ Generate a table of values from the pattern.◦ Sketch a graph.

Translating between Reps

An amusement park manager estimates the daily profits by multiplying the number of tickets sold by 20.

Profits equal x times 20 p = 20t y=20x

Example

Tickets (x) Profits (y)

0 0

1 20

2 40

10 200

20 400

Kurt is rappelling down a 500-foot cliff at a rate of 6 feet per second.◦ Create a table, equation and graph to represent

Kurt’s height relative to the ground.◦ When will Kurt reach the ground?

Practice Problem

Pg. 80: #1, 2, 3, 11, 12, 13, 19-22 Pg. 659: #11

Homework