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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 15 Page 447

Start by making a table of values.

Practice makes perfect

We want to draw a graph of the given exponential function. y=2( 3/2)^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	2(3/2)^x	y=2(3/2)^x
- 2	2(3/2)^(- 2)	8/9
- 1	2(3/2)^(- 1)	4/3
0	2(3/2)^0	2
1	2(3/2)^1	3
2	2(3/2)^2	4.5

The ordered pairs ( - 2, 8/9), ( - 1, 4/3), ( 0, 2), ( 1, 3), and ( 2, 4.5) all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.