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Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 31 Page 278

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 exponential function, we will first make a table of values.

x	3^x-1	f(x)=3^x-1
- 4	3^(- 4)-1	≈ - 0.99
0	3^0-1	0
2	3^2-1	8
3	3^3-1	26

Let's now plot and connect the points ( - 4, - 0.99), ( 0, 0), ( 2, 8), and ( 3, 26) with a smooth curve.

We can see in the graph that the range is all real numbers greater than negative one. The domain of exponential functions is all real numbers. Domain:& All real numbers Range:& y>- 1