options: Define, evaluate, and compare functions.

Analyze functions using different representations.

Prove and apply trigonometric identities.

Interpret functions that arise in applications in terms of the context.

Build a function that models a relationship between two quantities.

Interpret expressions for functions in terms of the situation they model.

Construct and compare linear and exponential models and solve problems.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.
problem_activity: Problem 1
Below is a piecewise function that relates yards traveled and seconds.
[IMG]
Write a story that would result in this graph to model the situation.
Problem 2
Your favorite dog groomer charges according to your dog’s weight. If your dog is 15 pounds and under, the groomer charges $35. If your dog is between 15 and 40 pounds, she charges $40. If your dog is over 40 pounds, she charges $40, plus an additional $2 for each pound.
Write a piecewise function that describes what your dog groomer charges.
Graph the function.


correct_option_index: 1

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