Question 1

A function $f$ is continuous at c if the following conditions are met except

Accepted Answer

$f'(c) = f(c)$

Answer

$f(c)$ is defined

Answer

$lim_{x->c} f(x) = f(c)$

Answer

$lim_{x->c} f(x)$exists

Question 2

If $f$ is continuous on the closed interval $[a,b]$ and $k$ is some number between $f(a)$ and $f(b)$, then there exists at least one number $c$ in$ [a.b]$ such that $f(c)=k$

Accepted Answer

Intermediate value theorem

Answer

Mean Value Theorem (integration)

Answer

Mean Value Theorem (differentiation)

Answer

Rolle's Theorem

Related quizzes

Related quizzes