1. Skill Check after HW Check
Graphing Linear Functions

2. Homework Check

3. Graphing Linear Functions
Skill Check
Graphing Linear Functions

4. What can you tell me about this graph?

5. Interval Notation

6. Domain Range The x-values in the graph The y-values in the graph
LEFT to RIGHT
The y-values in the graph
BOTTOM to TOP

7. What are the domain and range?

8. What are the domain and range?

9. What are the domain and range?

10. Zeros, Roots & Solutions
The points where the graph crosses the x-axis.
Called a zero, because if you plug in the x-value, you get out a zero.
Also called x-intercept.

11. What are the zeros?

12. Interval of Increase/Decrease
Sweep from left to right and notice what happens to the y-values
Increasing goes up (L to R)
Decreasing falls down (L to R)
Constant is a horizontal graph

13. Where is it increasing and decreasing?

14. Where is it increasing and decreasing?

15. Where is it increasing and decreasing?

16. Intercepts
x-intercept – the point at which the line intersects the x-axis at (x, 0)
y-intercept – the point at which the line intersects the y-axis at (0, y)

17. What are the intercepts?

18. End Behavior What a function keeps doing after it leaves the graph.
As x goes to the right, where does y go?
As x goes to the left, where does y go?
Your answers will be: None, a number, , or Usually one of the last two.

19. End Behavior

20. Rate of Change
The rate of change is the average slope of a graph over a given period.
The period is defined by [x2, x1].
The rate of change formula is:

21. Rate of Change

22. Analyze this graph
domain, range, intervals of increase and decrease, solution, x- and y-intercepts, end behavior, and rate of change over [-7, 3]