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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Exponential Functions

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Exercise 33 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>7

Practice makes perfect

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

x	5^(x-2)+7	y=5^(x-2)+7
0	5^(0-2)+7	7.04
1	5^(1-2)+7	7.2
2	5^(2-2)+7	8
3	5^(3-2)+7	12

Let's now plot and connect the points ( 0, 7.04), ( 1, 7.2), and ( 2, 8), ( 3, 12) with a smooth curve.

We can see that the graph approaches the line y=7 but does not intersect it. Therefore, the range is all real numbers greater than 7. The domain of the function is all real numbers. Domain:& All real numbers Range:& y>7

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280