Question

PLEASE HELP!!! determine the range of f(x)=13-20x-(x^2)-3(x^4) Also, find the max and min values of f(x) and STATE WHERE THEY OCCUR

Answer 1

well, your function is a polynomial so it's continuous and differentiable in all \(\mathbb{R}\)

Answer 2

do u know about absolute minimum and maximum?

Answer 3

i think that because this graphs as a parabola the vertex is the maximum but i dont know where the minimum would be

Answer 4

quite right, think of it like a quadratic..well so it has no absolute minimum because leading coefficient (coefficient of x^4 which is greatest power) is negative and \(f\) can decrease without limit

Answer 5

so u just need to find local maximums and minimums of \(f\) which gives u the max of \(f\) we have something like this