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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 11 Page 447

Start by making a table of values.

Practice makes perfect

We want to draw a graph of the given exponential function. y=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	3(2)^x	y=3(2)^x
- 2	3(2)^(- 2)	0.75
- 1	3(2)^(- 1)	1.5
0	3(2)^0	3
1	3(2)^1	6
2	3(2)^2	12

The ordered pairs ( - 2, 0.75), ( - 1, 1.5), ( 0, 3), ( 1, 6), and ( 2, 12) all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.