options: Construct and compare linear and exponential models and solve problems.

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

Build a function that models a relationship between two quantities.

Prove and apply trigonometric identities.

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.

Understand the concept of a function and use function notation.

Analyze functions using different representations.

Model periodic phenomena with trigonometric functions.

Use functions to model relationships between quantities.

Define, evaluate, and compare functions.
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