7. Graphing Absolute Value Functions
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Create two tables of values and plot the graphs on the same coordinate plane.
Graph:
Comparison: See solution.
To graph the functions without going through the entire process of transforming the parent function, we can make two tables of values. Then, we only need to plot and connect the obtained points and compare the graphs.
Let's begin with creating a table of values for f(x).
x | ∣x−4∣ | f(x)=∣x−4∣ |
---|---|---|
-1 | ∣-1−4∣ | 5 |
1 | ∣1−4∣ | 3 |
3 | ∣3−4∣ | 1 |
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