options: Use functions to model relationships between quantities.

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.

Prove and apply trigonometric identities.

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

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

Define, evaluate, and compare functions.

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

Build new functions from existing functions.

Build a function that models a relationship between two quantities.
problem_activity: Problem 1
You are selling cookies for a fundraiser. You have a total of 25 boxes to sell, and you make a profit of $2 on each box. The profit you make
$${p(n)}$$
is a function of the number of boxes you sell,
$$n$$
.
a.   Write an equation that represents this function, in function notation.
b.   Describe the domain of this function. Then write an inequality to represent the domain.
c.   Describe the range of this function.
Problem 2
Below is a graph of the linear function represented contextually above. Mark the domain on the graph, using vertical lines, and the range on the graph, using horizontal lines.
[IMG]
Problem 3
What is the domain and range of this function?
[IMG]


correct_option_index: 2

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