Overarching Skill / Cluster:
Build new functions from existing functions.
F-BF-3 Identify the effect on the graph of replacing f(x) by f(x) + k, kff(x), f(kx), and f(x + k) for special 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.
Identify the effects of k (positive and negative) on a given function.
f(x) + k
f(x + k)
Find the value of k given a graph.
Experiment using technology to illustrate the effects of k on a graph.
Recognize functions are even or odd from their algebraic equations (comparing f(x) to f(-x)).
On a graphing calculator, graph the following functions:
Sketch and label the five graphs listed on the same coordinate plane. Use what you learned to establish a rule for the graph of
Previously Mastered Learning Targets:
Extension Learning Targets:
Link to CRS: