# 5.3: Function Rules, Tables, and Graphs

```5.3: Function
Rules, Tables,
and Graphs
Modeling Functions
There are three ways to model a function:
1) Rule (equation)  shows how variables are related
2) Tables  identify specific input and output values
3) Graphs  gives a visual picture
Remember:
Domain: Independent variable (inputs)  graph on horizontal axis
Range: Dependent variable (outputs)  graph on vertical axis
Modeling Functions
Ex1) Model the function rule using a table of values and a graph.
1
y  x2
3
Modeling Functions
Ex3) Model the function rule using a table of values and a graph.
y   x2  4
Modeling Functions
Ex4) Model the function rule using a table of values and a graph.
y  x  2 1
Modeling Functions
Ex2) At the local video store you can rent video games for \$3 each.
It costs you \$15 up front for the video game membership.
a) Define the two variables in this situation and write a function rule
to represent your total cost. Use function notation
a) Make a table of values and a graph using the function rule.
a) How much would your total cost be if you rented 13 video games
in a month?
Homework #36:
Page 266
# 1-6, 10
5.3: Function
Rules, Tables,
and Graphs
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