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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 10 Page 447

Start by making a table of values.

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We want to draw a graph of the given exponential function. y=-9( 3)^xBecause the base of the function is greater than 1, we know that this is an exponential growth function. To draw the graph, we will start by making a table of values.

x	-9(3)^x	y=-9(3)^x
- 2	-9(3)^(- 2)	- 1
- 1	-9(3)^(- 1)	- 3
0	-9(3)^0	- 9
1	-9(3)^1	- 27

The ordered pairs ( - 2, - 1), ( - 1, - 3), ( 0, - 9), and ( 1, - 27) all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.