options: Build new functions from existing functions.

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

Use functions to model relationships between quantities.

Build a function that models a relationship between two quantities.

Construct and compare linear and exponential models and solve problems.

Model periodic phenomena with trigonometric functions.

Understand the concept of a function and use function notation.

Extend the domain of trigonometric functions using the unit circle.

Define, evaluate, and compare functions.

Analyze functions using different representations.

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

Prove and apply trigonometric identities.
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: 0

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