Thursday, September 22, 2016

College Algebra, Chapter 2, 2.3, Section 2.3, Problem 18

Determine an appropriate viewing rectangle for the equation y=x(x+6)(x9) and use it to draw the graph.

We can determine the appropriate viewing rectangle easier by getting the x and y-intercept at the equation. So, if we set y=0

0=x(x+6)(x9)Solve for xx=0,x=6 andx=9

Thus, the x-intercept are at (0,0),(6,0) and (9,0)

Next, solving for y-intercept, where x=0

y=0(0+6)(09)y=0


The y-intercept is at (0,0)
Hence, we assume that the appropriate viewing rectangle is [10,10] by [300,300]

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