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

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

Understand the concept of a function and use function notation.

Define, evaluate, and compare functions.

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

Construct and compare linear and exponential models and solve problems.

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

Build new functions from existing functions.

Extend the domain of trigonometric functions using the unit circle.
problem_activity: Suppose Brett and Andre each throw a baseball into the air. The height of Brett's baseball is given by
$${h(t)=-16t^2+79t+6}$$
where
$$h$$
is in feet and
$$t$$
is in seconds. The height of Andre's baseball is given by the graph below.
[IMG]
Brett claims that his baseball went higher than Andre’s, and Andre says that his baseball went higher.
Who is right?
How long is each baseball airborne?
Construct a graph of the height of Brett’s throw as a function of time on the same set of axes as the graph of Andre’s throw, and explain how this can confirm your claims to parts (a) and (b).


correct_option_index: 0

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