How to Find Range of Absolute Value Functions?
Examples and matched problems on how to find the range of rbsolute value functions are presented along with their answers located at the bottom of this page.
Graphical Analysis of Range of Absolute Value FunctionsThe range of a function y = f(x) is the set of values y takes for all values of x within the domain of f.What is the range of y = f(x) = |x|? The domain of f above is the set of all values of x in the interval ( -∞ , +∞) As x takes values from -∞ to +∞, |x| takes all values from 0 to infinity and in general absolute value function of the form y = |ax + b| has a range given by the interval In interval form, the range of y = |ax + b| is given by [0 , +∞) or by the inequality y ≥ 0
Examples with Solutions on How to Find Range of Absolute Value FunctionsExample 1Find the range of function f defined bySolution to Example 1
Matched Problem 1Find the range of function f defined by
Example 2Find the range of function f defined bySolution to Example 2
Matched Problem 2Find the range of function f defined by
Example 3Find the range of function f defined bySolution to Example 3
Matched Problem 3Find the range of function f defined by
Example 4Find the range of function f defined bySolution to Example 4
Matched Problem 4Find the range of function f defined by
Answers to the Above Matched Problems1) (-∞ , 0]2) (-∞ , 0] 3) (-∞ , -6] 4) [-5 , +∞) More References and LinksFind domain and range of functions,Find the range of functions, find the domain of a function and mathematics tutorials and problems. |