Graphing Absolute Value Functions

Graphing Absolute Value Functions

Objective: 

• To graph an absolute value function
• To translate the graph of an absolute value function

I CAN experiment to identify, using technology, the transformational effects on the graph of a function f(x) when f(x) is replaced by f(x)+k, k∙f(x), f(kx), and f(x+k) for specific values of k, both positive and negative.

I CAN find the value of k given the graph of a transformed function.

I CAN graph square root, cube root and piecewise-defined functions, including step functions and absolute value functions.

insert SUMMARY, VOCAB(Link terms to glossary), etc. here.........

Standards

Standards

• MAT-HS.F-BF.03  Identify the effect on the graph of replacing f(x) by f(x) + k, k f(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. 
• MAT-HS.F-IF.07  Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
  • b.  Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

Resources

Resources

Assessments

Formative assessments