Continuity

Question 1

Determine all numbers at which the function is continuous.

Revolt · Accepted Answer

continuous at every real number except

Question 2

Explain why f(x) = is not continuous at x = 0.

Revolt · Accepted Answer

f is not defined at x = 0

Question 3

Explain why f(x) = is not continuous at x = 3.

Revolt · Accepted Answer

f is not defined at x = 3

Question 4

Explain why f(x) = , is not continuous at x = 0.

Revolt · Accepted Answer

f(0)

Question 5

Explain why f(x) = is not continuous at x = -1.

Revolt · Accepted Answer

f is not defined at x = -1

Question 6

Explain why f(x) = is not continuous at x = 2.

Revolt · Accepted Answer

f is not defined at x = 2

Question 7

At which of the given values is the graph discontinuous?a.0c.b.d.

Revolt · Accepted Answer

D

Question 8

Explain why g(x) = , is not continuous at x = 0

Revolt · Accepted Answer

does not exist

Question 9

Find the values of x (if any) at which is not continuous. If so, is the discontinuity removable?

Revolt · Accepted Answer

removable at –1, non-removable at 1

Question 10

f(x) = is continuous at x = 2.

Revolt · Accepted Answer

T

Continuity Answers