options: Define, evaluate, and compare functions.

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

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

Extend the domain of trigonometric functions using the unit circle.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

Analyze functions using different representations.
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