1. ## Intermediate Value Thereom

Use the intermediate value theorem to show that the equation $-x^4 + 3x^3 - 2x^2 + 3x - 5 = 0$ has at least two real solutions.

2. f(1) = -2

f(2) = 1

f(3) = -14

Therefore there is a zero between 1 and 2 and one between 2 and 3