options: Define, evaluate, and compare functions.

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

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

Construct and compare linear and exponential models and solve problems.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

Build new functions from existing functions.
problem_activity: Task
Pictured below are the graphs of four different functions, defined in terms of eight constants:  $a, b, c, k, m, p, q, \text{ and } r.$  The equations of the functions are:
$y=mx+b$
$y=a\cos(x)+c$
$y=qr^x$
$y=kx^p$
[IMG]
Match each equation with its graph.
Use the graphs to answer the following questions.  Justify your answers with appropriate explanations.
Which of the 8 constants are definitely negative?
Which of the 8 constants are definitely positive?
Which of the 8 constants are  definitely greater than zero but less than one?
Which of the 8 constants are definitely greater than one?


correct_option_index: 5