7. Graphing Absolute Value Functions
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Make a table of values to find points on the graph. Note that the graph of q(x) is a V-shaped graph.
Graph:
Domain: All real numbers
Range: y≤0
Comparison: See solution.
Let's graph q(x) first and then we can compare it to the graph of f(x).
To graph the function without going through the entire process of transforming the parent function, we can make a table of values. Then we only need to plot the ordered pairs that we find.
x | -23∣x∣ | Simplify | q(x)=-23∣x∣ |
---|---|---|---|
-4 | -23∣-4∣ | -23(4) | -6 |
-2 | -23∣-2∣ | -23(2) | -3 |
0 | -23∣0∣ | -23(0) | 0 |
2 | -23∣-2∣ | -23(2) | -3 |
4 | -23∣4∣ | -23(4) | -6 |
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