Exercise 52 Page 154

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	- 2/3|x+6|-1	g(x)=- 2/3|x+6|-1
- 12	- 2/3| - 12+6|-1	- 5
- 9	- 2/3| - 9+6|-1	- 3
- 6	- 2/3| - 6+6|-1	- 1
- 3	- 2/3| - 3+6|-1	- 3
0	- 2/3| 0+6|-1	- 5
3	- 2/3| 3+6|-1	- 7

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.