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

Use functions to model relationships between quantities.

Analyze functions using different representations.

Define, evaluate, and compare functions.

Model periodic phenomena with trigonometric functions.

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

Build new functions from existing functions.

Prove and apply trigonometric identities.

Construct and compare linear and exponential models and solve problems.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

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: 6