options: Use functions to model relationships between quantities.

Build new functions from existing functions.

Understand the concept of a function and use function notation.

Define, evaluate, and compare functions.

Build a function that models a relationship between two quantities.

Model periodic phenomena with trigonometric functions.

Extend the domain of trigonometric functions using the unit circle.

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.

Interpret expressions for functions in terms of the situation they model.
problem_activity: Problem 1
All of the four quadrants represent the same function but use a different representation. Explain how you know that each of these quadrants represents the same function.
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Problem 2
Describe a characteristic that each of the quadrants shown below does not share with the rest.
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You should have at least one characteristic for each quadrant.
Problem 3
Allison states that the slope of the following equation is 3.
$${3x + 4y = 8}$$
Allison creates a table of values for the equation and is confused when it does not appear that the slope in the table is 3.
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Explain how Allison found the slope from the table.
Explain the mistake Allison made in finding the slope from the equation.
Graph the equation.


correct_option_index: 7

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