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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 6 Page 461

Make a table to find ordered pairs. Then, plot and connect the points with a smooth curve.

Graph:

Domain: All real numbers
Range: y>0
y-intercept: 8

Practice makes perfect

To graph the given exponential function, we will first make a table of values.

x	8(0.25)^x	y=8(0.25)^x
- 1	8(0.25)^(- 1)	32
0	8(0.25)^0	8
1	8(0.25)^1	2
2	8(0.25)^2	0.5

Let's now plot and connect the points ( - 1, 32), ( 0, 8), ( 1, 2), and ( 2, 0.5) with a smooth curve.

We can see in the graph that the range is all real numbers greater than zero. The domain of exponential functions is all real numbers. The y-intercept is the y-coordinate of the point at which the graph intersects the y-axis. We can see in the graph that its value is 8. Domain:& All real numbers Range:& y>0 y-intercept:& 8