List the two requirements that a real-valued function must satisfy on the interval so…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

List the two requirements that a real-valued function

f

must satisfy on the interval

[a,b]

so that

f

is guaranteed to take on every value between

f(a)

and

f(b)

somewhere in

[a,b]