SOLUTION: f(x)= -2x(x-5)(x+1)(x-2)^2 X and Y intercepts The end behavior of the graph

Question 351563: f(x)= -2x(x-5)(x+1)(x-2)^2
X and Y intercepts
The end behavior of the graph
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
To find the x-intercept, set y=0 and solve for x.
f(x)=0
By the zero product property, there are 3 x-intercepts.

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To find the y-intercept, set x=0 and solve for y.

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f(x)= -2x(x-5)(x+1)(x-2)^2
When x has a very large positive value,
f(x)=-(+)(+)(+)(+)^2=-
Then f(x) has a very large negative value.

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When x has a very large negative value,
f(x)=-(-)(-)(-)(-)^2=+
Then f(x) has a very large positive value.

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