SOLUTION: The function f(x)=-2x(x-1)(x-2)(x+2) A)has 4 zeros B)has a maximum C)as x infinit as f(x) -infinity D)all of the above

Question 1029538: The function f(x)=-2x(x-1)(x-2)(x+2)
A)has 4 zeros
B)has a maximum
C)as x infinit as f(x) -infinity
D)all of the above
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We can see by inspection that
f(x)=-2x(x-1)(x-2)(x+2)
has four zeroes, since setting it equal to zero gives four solutions.
Look at the leading term (when you multiply it out)...it is -2x^4...
When x goes to infinity, f(x) goes to negative infinity...
So we have choices A and C...turns out it has a maximum too, so
Choice D) all of the above.
RELATED QUESTIONS
Need help please ..... Equation of a quadratic function f(x) with zeros -2,0,1,4 and... (answered by Fombitz)

Find a polynomial function of lowest degree with rational coefficients and the following... (answered by solver91311)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by lwsshak3)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by Edwin McCravy)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by ewatrrr)

Use calculator to graph the rational function f(x)=(2x^2-8)/(x^2-9) determine the... (answered by ewatrrr)

1. Determine whether the given quadratic function has a minimum value or maximum value.... (answered by Alan3354)

Find all zeros of the function and write the polynomial as a product of linear factors. (answered by ikleyn)

Find all zeros of the function and write the polynomial as a product of linear factors.... (answered by KMST,ikleyn)