Chapter Review
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Make a table of values for the function g(x).
See solution.
We will first draw the graph of the exponential function represented by the table.
Let's plot and connect the points ( 0, 2), ( 1, 1), ( 2, 0.5), and ( 3, 0.25) with a smooth curve.
We will now make a table of values for the function g(x)=( 12 )^x.
| x | (1/2 )^x | g(x)=(1/2 )^x |
|---|---|---|
| 0 | (1/2)^0 | 1 |
| 1 | (1/2)^1 | 0.5 |
| 2 | (1/2)^2 | 0.25 |
| 3 | (1/2)^3 | 0.125 |
Let's plot and connect the points ( 0, 1), ( 1, 0.5), ( 2, 0.25), and ( 3, 0.125) with a smooth curve.
To compare the graphs, we will put them on the same axes.
The graph of f is a vertical stretch by a factor of 2 of the graph of g.