options: Model periodic phenomena with trigonometric functions.

Build new functions from existing functions.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

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

Define, evaluate, and compare functions.

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

Analyze functions using different representations.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.
problem_activity: Task
Let $P = (0,1)$ and $Q = (1,2)$ in the $(x,y)$ plane.
Show that there is a unique linear function described by the equation $y = mx + b$ whose graph contains $P$ and $Q$: find $m$ and $b$.
Show that there is a unique exponential function described by the equation $y = ab^x$ whose graph contains $P$ and $Q$: find $a$ and $b$.
Show that there is more than one quadratic function described by the equation $y = ax^2 + bx
+c$ whose graph contains $P$ and $Q$.


correct_option_index: 3