Acontinuous function y=f(x) is known to be negative at x=0 and positive at x=1. why does the equation f(x)=0 have at least one solution between x=0 and x=1?

Givens

It's known that the function is negative at and positive at .

To answer this question, we need to use the Intermediate Value Theorem, which states:

Therefore, the function hast a least one solution between and because the function is continuous in the closed interval [0,1], and based on the intermediate value theorem, if there exist a value inside this interval, then there's at least one solution there.

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4