options: Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.

Build new functions from existing functions.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Build a function that models a relationship between two quantities.

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

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

Understand the concept of a function and use function notation.

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

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: 8