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

Build a function that models a relationship between two quantities.

Extend the domain of trigonometric functions using the unit circle.

Analyze functions using different representations.

Build new functions from existing functions.

Construct and compare linear and exponential models and solve problems.

Understand the concept of a function and use function notation.

Model periodic phenomena with trigonometric functions.

Prove and apply trigonometric identities.

Define, evaluate, and compare functions.

Use functions to model relationships between quantities.

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