Let g be a function where g(2) = 5 and g(8) = −9. Which of the following conditions is necessary to show there is an x between 2 and 8, where g(x) = 0? The function g is decreasing on [2, 8].
The function g is increasing on [2, 8].
The function g is defined for all x in (2, 8).
The function g is continuous for all x in [2, 8].