Let's make the table of values for the function f(x)=∣2x−1∣. In this case, x will take integer values from -4 to 4, inclusive. Recall that integers are a set of numbers that consist of all real numbers, negative, positive and zero that do not contain any decimal parts.
x | ∣2x−1∣ | f(x)=∣2x−1∣ |
---|---|---|
-4 | ∣2(-4)−1∣ | 9 |
-3 | ∣2(-3)−1∣ | 7 |
-2 | ∣2(-2)−1∣ | 5 |
-1 | ∣2(-1)−1∣ | 3 |
0 | ∣2(0)−1∣ | 1 |
1 | ∣2(1)−1∣ | 1 |
2 | ∣2(2)−1∣ | 3 |
3 | ∣2(3)−1∣ | 5 |
4 | ∣2(4)−1∣ | 7 |
Now, we will plot the obtained points on a coordinate plane.
To graph the function, we will connect the plotted points. Recall that the graph of an absolute value function has a V
shape.