Let's make the table of values for the function f(x)=∣3x∣+2. 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 | ∣3x∣+2 | f(x)=∣3x∣+2 |
---|---|---|
-4 | ∣3(-4)∣+2 | 14 |
-3 | ∣3(-3)∣+2 | 11 |
-2 | ∣3(-2)∣+2 | 8 |
-1 | ∣3(-1)∣+2 | 5 |
0 | ∣3(0)∣+2 | 2 |
1 | ∣3(1)∣+2 | 5 |
2 | ∣3(2)∣+2 | 8 |
3 | ∣3(3)∣+2 | 11 |
4 | ∣3(4)∣+2 | 14 |
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.