7. Graphing Absolute Value Functions
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Let's graph m(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 | ∣x+1∣ | Simplify | m(x)=∣x+1∣ |
---|---|---|---|
-7 | ∣-7+1∣ | ∣-6∣ | 6 |
-5 | ∣-5+1∣ | ∣-4∣ | 4 |
-3 | ∣-3+1∣ | ∣-2∣ | 2 |
-1 | ∣-1+1∣ | ∣0∣ | 0 |
1 | ∣1+1∣ | ∣2∣ | 2 |
3 | ∣3+1∣ | ∣4∣ | 4 |