options: Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

Extend the domain of trigonometric functions using the unit circle.

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

Analyze functions using different representations.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Build new functions from existing functions.

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

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.
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: 8