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

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Build a function that models a relationship between two quantities.

Extend the domain of trigonometric functions using the unit circle.

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

Build new functions from existing functions.

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.

Prove and apply trigonometric identities.
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