Intermediate Value Theorem And Jump Discontinuities
If a function has a jump discontinuity at {eq}x=2{/eq}, can the Intermediate Value Theorem be applied over the closed interval {eq}[1,3]{/eq}?
A
No, because the jump discontinuity violates the continuity requirement.
B
No, because the function is increasing.
C
Yes, because the function is continuous from the left.
D
Yes, because the function is defined at all points on the interval.