Make a table to find ordered pairs. Then, plot and connect the points with a smooth curve.
Graph:
Domain: All real numbers Range: y<-1
Practice makes perfect
To graph the given function, we will first make a table of values.
x
-2 (3)^(x+2)-1
y=-2 (3)^(x+2)-1
- 3
-2 (3)^(-3+2)-1
≈ - 1.67
- 2
-2 (3)^(-2+2)-1
-3
- 1
-2 (3)^(-1+2)-1
-7
0
-2 (3)^(0+2)-1
-19
Let's now plot and connect the points ( - 3, -1.67), ( - 2, -3), ( - 1, -7), and ( 0, -19) with a smooth curve.
We can see that the graph approaches the line y=- 1 but does not intersect it. Therefore, the range is all real numbersless than -1. The domain of the function is all real numbers.
Domain:& All real numbers
Range:& y<-1
