MATH1050: The Absolute Value Function
Instructor: Laura Strube
Name
Student ID :
Answer the questions in the spaces provided or copy the questions neatly on
our own paper.
1. (5 points) Graph the absolute value parent function [f (x) = |x|] on the included graph
paper.
2. (5 points) Graph f (x) = 2|x|, g(x) = 3|x| and h(x) = 4|x| on the same coordinate
plane. Label each line clearly.
3. (5 points) Graph f (x) = |2x|, g(x) = |3x| and h(x) = |4x| on the same coordinate plane.
Label each line clearly. What do you notice about the relationship between horizontal
stretch/shrinks and vertical stretch/shrinks of the absolute value function?
4. (5 points) Using the idea of graph transformations, graph the function
f (x) = |2x − 2| − 1
5. (5 points) Using the idea of graph transformations, graph the function
g(x) = −3|x + 1| + 1
6. (5 points) Using the idea of graph transformations, graph the function
f (x) = | − x + 1| + 1
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