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

Understand the concept of a function and use function notation.

Use functions to model relationships between quantities.

Prove and apply trigonometric identities.

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

Build new functions from existing functions.

Build a function that models a relationship between two quantities.

Model periodic phenomena with trigonometric functions.

Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.
problem_activity: Task
Suppose a can of cold soda is left in a warm room on a summer day.  The graph below shows the temperature of the soda as it gradually increased:
[IMG]
The function that describes the temperature, $F$, of the soda (in degrees Fahrenheit) after $t$ minutes can be expressed by
$$F(t)=C - R e^{-kt},$$
for some positive values of $C$, $R$, and $k$.<
Use the graph to estimate $C$.
Use the graph to estimate $R$.
What was the approximate room temperature?  What was the initial temperature of the soda when placed in the room?


correct_option_index: 4

5