Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
Chapter Review
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Exercise 4 Page 322

Make a table of values for the function g(x).

See solution.

Practice makes perfect

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.