Saturday, March 22, 2014

College Algebra, Chapter 4, 4.2, Section 4.2, Problem 20

Sketch the graph of polynomial function P(x)=15x(x5)2 make sure the graph shows all intercepts and exhibits the proper end behaviour.
The function has an odd degree 3 and a positive leading coefficient. Thus, its end behaviour is y as x and y as x.
To solve for the x-intercept, we set y=0.


0=15x(x5)20=xand(x5)2=0


We have,
x=0 and x=5

To solve for the y-intercept, we set x=0
y=15(0)(05)2=0

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