let f(x) = 2x^2+5-e^x , use the intermediate value theorem to show that the f(x) has a root in the interval [3,4]?

9514 1404 393

  sign(f(3)) ≠ sign(f(4))

Step-by-step explanation:

The intermediate value theorem tells you that a sign change between f(a) and f(b) means there is a root in the interval [a, b].

Here, we have f(3) ≈ +2.9 and f(4) ≈ -17.6, so there is a root in [3, 4].

_____

The root is approximately 3.27560108885.

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction