1-3. Quiz
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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
To graph the given exponential function, we will first make a table of values.
| x | 6(2)^(x-4)-1 | y=6(2)^(x-4)-1 |
|---|---|---|
| - 1 | 6(2)^(- 1-4)-1=6(2)^(- 5)-1 | - 0.813 |
| 0 | 6(2)^(0-4)-1=6(2)^(- 4)-1 | - 0.625 |
| 4 | 6(2)^(4-4)-1=6(2)^0-1 | 5 |
Let's now plot and connect the points ( - 1, - 0.813), ( 0, - 0.625), ( 4, 5), and ( 5, 11) with a smooth curve.
We can see in the graph that the range is all real numbers greater than - 1. The domain of exponential functions is all real numbers. Domain:& All real numbers Range:& y>- 1