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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Exponential Functions

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Exercise 13 Page 447

Start by making a table of values.

Practice makes perfect

We want to draw a graph of the given exponential function. y=- 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	-4^x	y=-4^x
- 2	-4^(- 2)	-0.0625
- 1	-4^(- 1)	-0.25
0	-4^0	-1
1	-4^1	-4
2	-4^2	-16

The ordered pairs ( - 2, -0.0625), ( - 1, -0.25), ( 0, -1), ( 1, -4), and ( 2, -16) all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.