options: Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

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

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

Define, evaluate, and compare functions.

Build new functions from existing functions.

Prove and apply trigonometric identities.

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

Understand the concept of a function and use function notation.

Construct and compare linear and exponential models and solve problems.
problem_activity: Problem 1
Below is the graph and equation of the function
$$f$$
.
$$f(x)=(x-2)(x-5)\over(x-2)(x+1)$$
[IMG]
And below is the graph and equation of the function
$$g$$
.
$$g(x)={(x-5)\over(x+1)}$$
[IMG]
How are the functions
$$f$$
and
$$g$$
similar Different?
Problem 2
How are the functions
$${g(x)}$$
and
$${h(x)}$$
different? Similar?
$${g(x)}={x^2\over{x-2}}$$
$${h(x)}={x^2-4\over{(x-2)(x+3)}}$$


correct_option_index: 3