options: Define, evaluate, and compare functions.

Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

Analyze functions using different representations.

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

Prove and apply trigonometric identities.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

Build new functions from existing functions.

Construct and compare linear and exponential models and solve problems.

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

Understand the concept of a function and use function notation.
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: 9