options: Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

Extend the domain of trigonometric functions using the unit circle.

Model periodic phenomena with trigonometric functions.

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.

Construct and compare linear and exponential models and solve problems.

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

Analyze functions using different representations.

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

Prove and apply trigonometric identities.
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: 7