options: Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Understand the concept of a function and use function notation.

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

Prove and apply trigonometric identities.

Analyze functions using different representations.

Build new functions from existing functions.

Build a function that models a relationship between two quantities.

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

Extend the domain of trigonometric functions using the unit circle.

Use functions to model relationships between quantities.

Model periodic phenomena with trigonometric functions.
problem_activity: Categorize each representation of a function as linear, exponential, or quadratic. Explain your reasoning for each one.
|                                                                                                                               a.                                                                                                                               |                                                                                                                             $$x$$                                                                                                                              | $$y$$ | 1 | -2 | 2 | 1 | 3 | 6 | 4 | 13 | 5 | 22 | b. | $$x$$ | $$y$$ | 1 | 48 | 2 | 24 | 3 | 12 | 4 | 6 | 5 | 3 |
|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|-------|---|----|---|---|---|---|---|----|---|----|----|-------|-------|---|----|---|----|---|----|---|---|---|---|
|                                                                                                                             $$x$$                                                                                                                              |                                                                                                                             $$y$$                                                                                                                              |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               1                                                                                                                                |                                                                                                                               -2                                                                                                                               |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               2                                                                                                                                |                                                                                                                               1                                                                                                                                |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               3                                                                                                                                |                                                                                                                               6                                                                                                                                |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               4                                                                                                                                |                                                                                                                               13                                                                                                                               |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               5                                                                                                                                |                                                                                                                               22                                                                                                                               |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                             $$x$$                                                                                                                              |                                                                                                                             $$y$$                                                                                                                              |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               1                                                                                                                                |                                                                                                                               48                                                                                                                               |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               2                                                                                                                                |                                                                                                                               24                                                                                                                               |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               3                                                                                                                                |                                                                                                                               12                                                                                                                               |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               4                                                                                                                                |                                                                                                                               6                                                                                                                                |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                                               5                                                                                                                                |                                                                                                                               3                                                                                                                                |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
|                                                                                                            c.                       $$f(x)=x(x-4)$$                                                                                                            |                                                                                                         d.                       $$f(x)=4-{x\over2}$$                                                                                                          |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |
| e.            |https://d37su8u1z9ynie.cloudfront.net/uploads/2018/07/02/alg1_u7_l1_tte.PNG|  |https://d37su8u1z9ynie.cloudfront.net/uploads/2018/07/02/alg1_u7_l1_tte.PNG| image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2018/07/02/alg1_u7_l1_tte.PNG | f.            |https://d37su8u1z9ynie.cloudfront.net/uploads/2018/07/02/alg1_u7_l1_ttf.PNG|  |https://d37su8u1z9ynie.cloudfront.net/uploads/2018/07/02/alg1_u7_l1_ttf.PNG| image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2018/07/02/alg1_u7_l1_ttf.PNG |       |   |    |   |   |   |   |   |    |   |    |    |       |       |   |    |   |    |   |    |   |   |   |   |


correct_option_index: 1

8