In order to graph the given absolute value function, we can make a table of values.
x | f(x)=2∣x∣−2 | Simplified Absolute Value | f(x) |
---|---|---|---|
-6 | f(-6)=2∣-6∣−2 | f(-6)=2(6)−2 | 10 |
-4 | f(-4)=2∣-4∣−2 | f(-4)=2(4)−2 | 6 |
-2 | f(-2)=2∣-2∣−2 | f(-2)=2(2)−2 | 2 |
0 | f(0)=2∣0∣−2 | f(0)=2(0)−2 | -2 |
2 | f(2)=2∣2∣−2 | f(2)=2(2)−2 | 2 |
4 | f(4)=2∣4∣−2 | f(4)=2(4)−2 | 6 |
6 | f(6)=2∣6∣−2 | f(6)=2(6)−2 | 10 |
Now we can graph f(x) by plotting the points and connecting them with straight lines on either side of the vertex.