1. Let’s Explore…
4 × 2 8
4 × 3 12
4 × 4 16

2. 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.

3. 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)

4. Making a Function Table
Javier saves $20 each month. Make a function table to show his saving after 1, 2, 3, and 4 months.
What is the domain and range?
Input
(Domain)
Function Rule
Output
(Range)

5. 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

6. Making a Function Table & Writing an Equation

7. 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 9 4
3∙4 12
Domain: 1, 2, 3, 4
Range: 3, 6, 9, 12

8. 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.

9. 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?

10. 5-1C Functions and Graphs!

11. Functions and Graphs

12. Graph Ordered Pairs

13. Graph Solutions of Linear Equations

14. Graph Solutions of Linear Equations

15. Representing Functions

16. 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.

17. You Try!
Graph the equation: y= -3x + 2 Make a function table first to help you solve.