1. 4.3 Analyzing Graphs
Nov. 13 and 14

2. Bell Ringer

3. Correct Homework

4. Analyzing a function means finding key information.
Domain and Range
Increasing, decreasing, and constant
Relative maximums and minimums
Positive and negative
Intercepts
Symmetry (even, odd, or neither)
End behavior
What does it mean when you analyze something?

5. Domain and Range
For domain, we read our graph from the ___________ to the ____________.
For range, we read our graph from the ___________ to the ___________.
Ex:

6. Increasing, Decreasing, and Constant
We ALWAYS read the graph _________ to _________. (just like reading this sentence)
Increasing: our graph is _____________ from left to right.
Decreasing: our graph is _____________ from left to right.
Constant: our graph is _____________.

8. Relative Maximum and Minimum
Also known as ________________ of our graph.
It is the point where our graph switches from ____________ to ____________ or ____________ to ____________.
The relative maximum and minimum is written as a ___________.
Ex:

9. Positive and Negative
Positive: means _________. This is where our graph is __________ the x-axis.
Negative: means ________. This is where our graph is __________ the x-axis.
Ex:

10. Even and Odd

11. Intercepts
______________: the point(s) where our graph __________ or __________ the x- axis.
______________: the point where our graph crosses the __________.
Solve algebraically by setting the __________ variable equal to ____.
Ex: Ex: 𝑦=2𝑥−3

12. End Behavior Exactly what it sounds like!
End behavior describes what happens to the far ______ and the far ________ of the graph. (As x approaches __________ infinity and positive __________.

13. Ex:

14. Analyze the function: