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4×2
8
4×3
12
4×4
16
Function Rules
A relationship that assigns exactly ONE OUTPUT
value for each INPUT value is called a function.
The operation performed on the input to get the
output is given by the function rule.
Organizing your Functions
You can organize the input values, output values,
and the function rule in a function table.
DOMAIN: The set of input values
RANGE: The set of output values
Input
(Domain/ x)
Function Rule
Output
(Range/ y)
Making a Function Table
Javier saves $20 each month. Make a function table to show his saving after
1, 2, 3, and 4 months.
Input
(Domain)
Function Rule
What is the domain and range?
Output
(Range)
Making a Function Table &
Writing an Equation
An armadillo sleeps 19 hours each day. Write an equations using
two variable to show the relationship between the number of
hours h an armadillo sleeps in d days.
◦ Make a function table
Making a Function Table &
Writing an Equation
You Try
A student movie ticket costs $3. Make a
function table that shows the total cost
for 1, 2, 3, and 4 tickets. Then identify
the domain and range.
Domain (x)
Function Rule: 3x
Range (y)
1
3∙1
3
2
3∙2
6
3
3∙3
9
4
3∙4
12
Domain: 1, 2, 3, 4
Range: 3, 6, 9, 12
Practice
A botanist discovers that a certain species of bamboo grows
4 inches each hour.
◦ Make a function table that shows the growth after 1, 2, 3,
and 4 hours.
◦ Identify the domain and range.
◦ Write an equation using two variables to show the
relationship between the growth g in inches of this
bamboo plant in h hours.
◦ Use your equation to explain how to find the growth in
inches of this species of bamboo after 6 hours.
Practice
Aisha earns $6.50 and hour at a grocery store.
◦ Make a function table that shows Aisha’s total
earnings for working 1, 2, 3, and 4 hours.
◦ Identify the domain and range.
◦ Write an equation using two variables to show
the relationship between the number of hours h
she worked for her total earnings e.
◦ How much did Aisha earn in 12 hours?
5-1C Functions and
Graphs!
Functions and Graphs
Graph Ordered Pairs
Graph Solutions of Linear Equations
Graph Solutions of Linear
Equations
Representing Functions
Steps For Graphing
1) Make an input/output table
2) Plot the points (input, output)
3) Connect points with line. Make sure to
use arrows because lines are continuous.
You Try!
Graph the equation:
y= -3x + 2
Make a function table
first to help you solve.