Question 1190271: I have to graph this equation: f(x)=x^2(x+2)(x-1)
I know that x-intercepts are -2,+1
I am not sure what the x^2 tells about the graph?
Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821)   (Show Source):
Answer by ikleyn(52803)  (Show Source):
You can put this solution on YOUR website! .
The factor x^2 of the polynomial tells you that the plot of the polynomial TOUCHES x-axis at x= 0,
without going from negative values to positive and vice versa, at x= 0.
In particular, first derivative of this function is zero at x= 0, which means that the tangent line to the plot
is horizontal at x= 0.
By the way, in the Internet, there are sites what provide you free of charge plotting tools, so you can produce
any plot of any function as easy as the tutors do it, ON YOUR OWN.
It is only the matter of pressing buttons and printing formulas . . .
One of such sites is www.desmos.com
Alternatively, you may use your graphing calculator to make a plot.
Making plots for students is not a tutors' job.
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