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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 14 Page 447

Start by making a table of values.

Practice makes perfect

We want to draw a graph of the given exponential function. y=-( 1/3)^xBecause the base of the function is greater than 0, but less than 1, we know that this is an exponential decay function. To draw the graph, we will start by making a table of values.

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

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