Jan is asked to sketch a graph of f(x) = −2x^2(x−4)^2(x+1)^3 . How many turning points should her graph include?(1 point)

1. 5 at most
2. 2 at most
3. 6 at most
4. 7 at most

1 answer

The given function is a polynomial of degree 7, so it can have at most 7 turning points. Therefore, the correct answer is 4. 7 at most.