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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 28 Page 278

Make a table to find ordered pairs. Then, plot and connect the points with a smooth curve.

Graph:

Comparison with the parent function: Vertical stretch by a factor of 6.
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	6 ( 1/3 )^x	f(x)=6 ( 1/3 )^x
- 1	6 ( 1/3 )^(-1)	18
0	6 ( 1/3 )^0	6
1	6 ( 1/3 )^1	2
2	6 ( 1/3 )^2	≈0.67

Let's now plot and connect the points ( - 1, 18), ( 0, 6), ( 1, 2), and ( 2, 0.67) 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. Let's compare the graph of f with the graph of its parent function, g(x)=( 13)^x.

As we can see, the graph of f is a vertical stretch by a factor of 6 of the graph of g.

Subchapter links

Communicate Your Answer p.273

Monitoring Progress p.274-277

Exercises p.278-280