Question

A certain polynomial f(x) is such that f(2) = -3 and f(3) = -19. Since -10 lies between -3 and –19, what must be true for some x-value between 2 and 3?

Answer 1

it means, since any polynomial is continuous and therefore cannot skip any values,
it must be the case that \(f(x)=-10\) for some \(x\) between \(-3\) and \(3\)

Answer 2

i mean between \(2\) and\(3\)