STANDARD F.BF.B.3
AI

Using f(x)+k, kf(x), and f(x+k):
i) identify the effect on the graph when replacing f(x) by f(x)+k, kf(x), and f(x+k) for specific values of k (both positive and negative);
ii) find the value of k given the graphs;
iii) write a new function using the value of k; and
iv) use technology to experiment with cases and explore the effects on the graph.
Tasks are limited to linear, quadratic, square root, and absolute value functions; and exponential functions of the form f(x) = a(b)^x where a>0 and b>0 (b≠1).

AII/Precalculus

Identify the effect on the graph of replacing f(x) by f(x)+k, kf(x), f(kx), and f(x+k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

3/3/3

8/1/1

PRECALCULUS

4/7/3

7/1

AI

Practice-Graphing Absolute Value Functions

11

6

10

8

AII

2