options: Model periodic phenomena with trigonometric functions.

Build a function that models a relationship between two quantities.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

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

Understand the concept of a function and use function notation.

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

Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.

Build new functions from existing functions.
problem_activity: Problem 1
Given
$${f(x)=x^2}$$
shown on the graph below, perform the necessary transformations and graph such that
$${ g(x)=-2(x-1)^2+2}$$
.
[IMG]
Problem 2
Analyze the function below in terms of:
Interval(s) where the function is increasing
Interval(s) where the function is decreasing
Zeros
Maximum value
Domain
Range
[IMG]


correct_option_index: 4

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