options: Use functions to model relationships between quantities.

Define, evaluate, and compare functions.

Extend the domain of trigonometric functions using the unit circle.

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

Model periodic phenomena with trigonometric functions.

Construct and compare linear and exponential models and solve problems.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

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

Understand the concept of a function and use function notation.

Analyze functions using different representations.

Build new functions from existing functions.
problem_activity: Below is an illustration of an aquarium. There are four possibilities of changes that affect the water level: addition/removal of a rock, insertion/removal of a plug, turn on/off the faucet, use the bucket to add/remove water.
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The graph below shows the height of the water in the aquarium over a 17-minute time interval. Write a story from the point of view of someone watching what is going on with the aquarium to produce the given graph.
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The graph given above is a simplified version of reality. What simplifying assumptions did we make when we created the graph?


correct_option_index: 8