options: Define, evaluate, and compare functions.

Build new functions from existing functions.

Model periodic phenomena with trigonometric functions.

Analyze functions using different representations.

Build a function that models a relationship between two quantities.

Extend the domain of trigonometric functions using the unit circle.

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

Construct and compare linear and exponential models and solve problems.

Use functions to model relationships between quantities.

Understand the concept of a function and use function notation.

Prove and apply trigonometric identities.

Interpret expressions for functions in terms of the situation they model.
problem_activity: The function,
$$f$$
, defines the cost of supplies for a lemonade stand as a function of the number of cups of lemonade you expect to sell.
$$f(x) = .5x + 10$$
Write
$$f^{-1}$$
algebraically and define the domain and range for both
$$f$$
and
$$f^{-1}$$
in the context of the problem.


correct_option_index: 1