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Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 35 Page 279

Make a table to find ordered pairs. Then, plot and connect the points with a smooth curve.

Graph:

Domain: All real numbers
Range: y<-2

Practice makes perfect

To graph the given exponential function, we will first make a table of values.

x	-8(0.75)^(x+2)-2	y=-8(0.75)^(x+2)-2
-2	-8(0.75)^(-2+2)-2	-10
-1	-8(0.75)^(-1+2)-2	-8
0	-8(0.75)^(0+2)-2	-6.5
1	-8(0.75)^(1+2)-2	-5.375

Let's now plot and connect the points ( -2, -10), ( -1, -8), ( 0, -6.5), and ( 1, -5.375) with a smooth curve.

We can see in the graph that the range is all real numbers less than -2. The domain of exponential functions is all real numbers. Domain:& All real numbers Range:& y<-2