SOLUTION: Consider the function f(x) = x^5 + 8x^2. Determine the number of zeros of the function after the function f(x) has been vertically stretched by a factor of 3 and vertically transla

Question 1172075: Consider the function f(x) = x^5 + 8x^2. Determine the number of zeros of the function after the function f(x) has been vertically stretched by a factor of 3 and vertically translated one unit up.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
no sign change in f(x) so no positive zeros
one sign change in f(-x) so one negative zero.
factoring the function into x^2(x^3+8), there is a zero at -2 and a bounce at the origin.
Translating it up 1 unit will remove the bounce and shift the zero but not remove it
There is one negative zero.

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