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

Extend the domain of trigonometric functions using the unit circle.

Understand the concept of a function and use function notation.

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.

Analyze functions using different representations.

Use functions to model relationships between quantities.

Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.
problem_activity: Task
Imagine Scott stood at zero on a life-sized number line.  His friend flipped a coin 50 times.  When the coin came up heads, he moved one unit to the right. When the coin came up tails, he moved one unit to the left. After each flip of the coin, Scott's friend recorded his position on the number line.
Let $f$ assign to the whole number $n$, when $1 \leq n \leq 50$,
Scott's position on the number line after the $n^{\rm th}$ coin flip. Explain why $f$ is a function.
Write a sentence explaining what $f(5)=5$ means in everyday language.
Before Scott began the random walk, he asked his friend to calculate the probability that $f(3)=0$.  What should his friend respond?


correct_option_index: 2