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. Make sure to include positive and negative numbers, as well as zero.
x | -43∣x+4∣−2 | f(x)=-43∣x+4∣−2 |
---|---|---|
-16 | -43∣-16+4∣−2 | -11 |
-12 | -43∣-12+4∣−2 | -8 |
-8 | -43∣-8+4∣−2 | -5 |
-4 | -43∣-4+4∣−2 | -2 |
0 | -43∣0+4∣−2 | -5 |
4 | -43∣4+4∣−2 | -8 |
8 | -43∣8+4∣−2 | -11 |
Now, we will plot and connect the obtained points on a coordinate plane. Recall that the graph of an absolute value function has a V
shape.