# Difference between revisions of "009A Sample Midterm 2, Problem 2"

The function  ${\displaystyle f(x)=3x^{7}-8x+2}$  is a polynomial and therefore continuous everywhere.
(b) Use the Intermediate Value Theorem to show that  ${\displaystyle f(x)}$  has a zero in the interval  ${\displaystyle [0,1].}$