options: Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Extend the domain of trigonometric functions using the unit circle.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

Understand the concept of a function and use function notation.

Build new functions from existing functions.

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

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

Build a function that models a relationship between two quantities.

Construct and compare linear and exponential models and solve problems.
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: 4

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