Determine an appropriate viewing rectangle for the equation y=x(x+6)(x−9) 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)(x−9)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)(0−9)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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