4.3 Analyzing Graphs Nov. 13 and 14

Bell Ringer

Correct Homework

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?

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

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 _____________.

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:

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:

Even and Odd

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

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 __________.

Ex:

Analyze the function: