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Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 36 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: f(x) > -5

Practice makes perfect

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

x	3(6)^(x-1)-5	f(x)=3(6)^(x-1)-5
- 1	3(6)^(- 1-1)-5	≈ - 4.92
0	3(6)^(0-1)-5	-4.5
1	3(6)^(1-1)-5	-2
2	3(6)^(2-1)-5	13

Let's now plot and connect the points ( - 1, - 4.92), ( 0, -4.5), ( 1, -2), and ( 2, 13) with a smooth curve.

We can see in the graph that the range is all real numbers greater than -5. The domain of exponential functions is all real numbers. Domain:& All real numbers Range:& f(x) > -5