Using graphing technology, graph . Then, experiment with the following changes to the function. Record your observations (include sketches, if helpful).
Adding different constant terms to (for example: , ).
Multiplying by different positive coefficients greater than 1 (for example: ).
Multiplying by different positive coefficients between 0 and 1 (for example: ).
Multiplying by negative coefficients (for example: ).
Use your observations to sketch these functions on the coordinate planes, which currently show .
12.3
Activity
Evaluate each expression when is -3.
For each graph, come up with an equation that the graph could represent. Verify your equation using graphing technology.
graphs A, B, C, D, E, F of 6 lines. A, slope = -1, y intercept = 10. B, slope = 1, y intercept = -15. C, slope = 1, y intercept = 15. D, slope = 2, y intercept = 10. E, slope = 2, y intercept = -10. F, slope = -1, y intercept = -15.