Domain and Range for Absolute Value Functions
Find the domain and range for each of the absolute value functions that follow. Adjust the sliders to transform the general absolute value function f(x) = a |x - h| + k.
Describe how the values of a, h, and k can be used to find the domain
and range of an absolute value function in the form f(x) = a |x - h| +
k. Compare the domain and range of f(x) = a |x - h|
+ k to the domain and range of its parent function f(x) = |x|. Which of
the values a, h, or k have a role in determining the range? Why? Use
specific examples to support your claims.
Duke, 11/11/06, Created with GeoGebra
| 1. f(x) = 2 |x-4| + 1
2. f(x) = -3 |x+1| + 4
3. f(x) = |x-2|
4. f(x) = .4 |x+3| - 3
5. f(x) = 7 - 3 |x-4|