Theorems

Question 1

Types of functions that are continuous at every number in their domain

Answer 1

• polynomials - rational functions - root functions - trigonometric functions

Question 3

The Intermediate Value Theorem

Answer 3

Suppose that f is continuous on the closed interval [a,b] and let N be any number between f(a) and f(b), where f(a) ≠ f(b).

Then there exists a number c in (a,b) such that f(c) = N

Question 4

If f is differentiable at a, then

Answer 4

f is continuous at a.

Answer 5

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