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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 32 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>0

Practice makes perfect

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

x	4^(x+3)	f(x)=4^(x+3)
- 5	4^(- 5+3)	0.0625
- 3	4^(- 3+3)	1
- 2	4^(- 2+3)	4
- 1	4^(- 1+3)	16

Let's now plot and connect the points ( - 5, 0.0625), ( - 3, 1), ( - 2, 4), and ( - 1, 16) with a smooth curve.

We can see in the graph that the range is all real numbers greater than zero. The domain of exponential functions is all real numbers. Domain:& All real numbers Range:& y>0

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280