Make a table to find ordered pairs. Then, plot and connect the points with a smooth curve.
Graph:
Domain: All real numbers Range: y<-3
Practice makes perfect
To graph the given function, we will first make a table of values.
x
-(1/2)^(x+1)-3
y=-(1/2)^(x+1)-3
-3
-(1/2)^(-3+1)-3
-7
-2
-(1/2)^(-2+1)-3
-5
-1
-(1/2)^(-1+1)-3
-4
0
-(1/2)^(0+1)-3
-3.5
1
-(1/2)^(1+1)-3
-3.25
Let's now plot and connect the points ( -3, -7), ( -2, -5), ( -1, -4), ( 0, -3.5), and ( 1, -3.25) with a smooth curve.
We can see that the graph approaches the line y=- 3 but does not intersect it. Therefore, the range is all real numbersless than -3. The domain of the function is all real numbers.
Domain:& All real numbers
Range:& y<-3
