options: Prove and apply trigonometric identities.

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

Use functions to model relationships between quantities.

Construct and compare linear and exponential models and solve problems.

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

Build new functions from existing functions.

Extend the domain of trigonometric functions using the unit circle.

Analyze functions using different representations.

Build a function that models a relationship between two quantities.

Understand the concept of a function and use function notation.

Define, evaluate, and compare functions.

Model periodic phenomena with trigonometric functions.
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: 7