1. Bell Quiz

2. Objectives Make graphs and decide if they represent functions.

3. Linear Equation A Linear Equation is an equation whose graph is a line. You can use a table of ordered pairs to graph an equation. To determine if the graph represents a function, use the vertical line test. –If a vertical line intersects the graph at more than one point then the graph is not a function

4. Linear Function A Linear Function is a function whose graph is a line. A linear function can be written in the from f(x) = mx + b –m and b are real numbers.

5. Example 1 Using Tables to Graph Functions Graph the equation using a table of values. Decide whether the graph represents a function and whether it is linear or nonlinear. y = 2x + 5

6. Solution

7. Lesson Practice Graph the equation using a table of values. Decide whether the graph represents a function and whether it is linear or nonlinear. y = x

8. Solution

9. Example 2 Using Tables to Graph Functions Graph the equation using a table of values. Decide whether the graph represents a function and whether it is linear or nonlinear. y = x 2

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11. Lesson Practice Graph the equation using a table of values. Decide whether the graph represents a function and whether it is linear or nonlinear. y = x 2 + 1

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13. Example 3 Matching a Graph to a Table

14. Lesson Practice Use the coordinates in the tables to match the graph with each table.

15. Example 4 Matching an Equation to a Graph Match the three equations below to the three graphs shown.

16. Lesson Practice Match the equation y = –2x 2

17. Example 5 Identifying the Domain and Range Use the graph to Identify the domain and range of the function.

18. Example 6 Identifying the Domain and Range Use the graph to Identify the domain and range of the function.

19. Lesson Practice Identify the domain (x-values) and range (y-values) of the function.

20. Lesson Practice Identify the domain (x-values) and range (y-values) of the function.

21. Example 7 Application: Car Wash Fundraiser The football team raises money by washing cars. They charge $5 per car and spend a total of $4 on soap. The table shows the money they raise. Make a graph and use it to find the amount they raise by washing 7 cars. Write the rule in functional notation.

22. Solution

23. Lesson Practice The table shows the number of emails history classes send to their senators. Write a rule in function notation to show how many emails were sent from 8 classes.