Make a table of values. Then, plot and connect the obtained points.
Graph:
Domain: All real numbers. Range: f(x) ≥ 0
Practice makes perfect
To graph the desired function, we will make a table of values. To do so, we will assign some values to the x-variable and calculate the corresponding values for y. For simplicity, we will use multiples of 3 so that the values of y are integers.
The domain of an absolute value function will usually be all real numbers, unless specific restrictions have been imposed upon the function.
Domain: -∞ < x < ∞
To find the range of an absolute value function, we need to think about where the vertex of the function is located. Because this type of function will always have the same basic V-shape, the y-value of the vertex is the minimum or maximum of the range. The minimum of the given function is 0 and then it will continue increasing indefinitely.
Range: 0 ≤ f(x) < ∞
