options: Build new functions from existing functions.

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.

Construct and compare linear and exponential models and solve problems.

Build a function that models a relationship between two quantities.

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

Define, evaluate, and compare functions.

Model periodic phenomena with trigonometric functions.

Prove and apply trigonometric identities.

Interpret expressions for functions in terms of the situation they model.
problem_activity: Problem 1
The average monthly temperature, in degrees Celsius, in a coastal city in the United States is periodic and can be modeled with the equation
$${y=-8\mathrm{cos}\left((x-1)\left(\pi\over6\right)\right)+17.5}$$
, where
$$x$$
represents the month,
$$x=1$$
represents January, and
$$y$$
represents the average temperature in degrees Celsius.
Below is the graph of the equation.
[IMG]
A tourist wants to visit the city when the average temperature is closest to 25℃. What recommendations would you make regarding when the tourist should travel?
Problem 2
Do the activity
Burning Daylight
by Desmos. Skip slides 6 and 7.


correct_option_index: 9