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

Analyze functions using different representations.

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

Model periodic phenomena with trigonometric functions.

Define, evaluate, and compare functions.

Prove and apply trigonometric identities.

Build new functions from existing functions.

Use functions to model relationships between quantities.

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

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

Extend the domain of trigonometric functions using the unit circle.
problem_activity: Task
How do the values of the three functions $f(x) = 2x$, $g(x) = x^2$ and $h(x) = 2^x$ compare for large positive and negative values of $x$?
Explain
your findings from part (a) for $f$ and $g$ by studying the quotients $\frac{g(x)}{f(x)}$.
Explain your findings from part (a) for $g$ and $h$ by studying $\frac{g(x+1)}{g(x)}$ and $\frac{h(x+1)}{h(x)}$ for different values of $x$.


correct_option_index: 9