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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 9 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=2( 4)^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(4)^x	y=2(4)^x
- 2	2(4)^(- 2)	0.125
- 1	2(4)^(- 1)	0.5
0	2(4)^0	2
1	2(4)^1	8

The ordered pairs ( - 2, 0.125), ( - 1, 0.5), ( 0, 2), and ( 1, 8) all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.