options: Define, evaluate, and compare functions.

Build new functions from existing functions.

Build a function that models a relationship between two quantities.

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

Prove and apply trigonometric identities.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.

Understand the concept of a function and use function notation.

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

Analyze functions using different representations.
problem_activity: Task
Given a function $f$, is the statement $$f(x+h)=f(x)+f(h)$$ true for any two numbers $x$ and $h$? If so, prove it. If not, find a function for which the statement is true and a function for which the statement is false.


correct_option_index: 9