options: Build a function that models a relationship between two quantities.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.

Understand the concept of a function and use function notation.

Construct and compare linear and exponential models and solve problems.

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

Build new functions from existing functions.

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

Prove and apply trigonometric identities.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.

Define, evaluate, and compare functions.
problem_activity: Given below are the graphs of two lines,
$${y = 0.5x + 5}$$
and
$${y = -1.25x + 8}$$
, and several regions and points are shown. Note that C is the region that appears completely white in the graph.
[IMG]
For each region and point, write a system of equations or inequalities that has the region or point as its solution set.
Verify that a point that lies in region A satisfies the system of inequalities that you wrote for region A.
Without choosing any specific numbers, explain how you know that all the points in quadrant 3 must satisfy the inequalities for region A.


correct_option_index: 7