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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Solving Equations by Graphing

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Exercise 48 Page 248

Make a table of values to find points from each of the graphs.

The graph of g is a horizontal shrink by a factor of 14 of the graph of f.

Practice makes perfect

Let's graph f(x) first, then we can graph g(x) on the same coordinate plane to compare.

Graphing f(x)

We can make a table of values to find points for the graph of f(x)=- 2x+1.

x	- 2x+1	f(x)
- 1	- 2( - 1)+1	3
0	- 2( 0)+1	1
1	- 2( 1)+1	- 1

Let's plot these points and connect them with a straight line to obtain the graph of f(x).

graph of f(x)

Graphing g(x)

Now, let's look at how the function g(x)=f(4x) differs from f(x).

x	f(x)	f(4x)	g(x)
- 1	3	- 2(4( - 1))+1	9
0	1	- 2(4( 0))+1	1
1	- 1	- 2(4( 1))+1	- 7

If we plot these points on the same coordinate plane as f(x), we can see that our points have got four times closer to the y-axis.

graph of g(x)

This is called a horizontal shrink by a factor of 14.

Subchapter links

Communicate Your Answer p.243

Monitoring Progress p.244-246

Exercises p.247-248