Think about this one very carefully. Which of the following statements are true?

ID: 2836402 • Letter: T

Question

Think about this one very carefully. Which of the following statements are true? There is more than one answer.

If a function is continuous at a number, then it is differentiable there.

If a function is differentiable at a number, then it is continuous there.

If a function is not differentiable at a number, then it is not continuous there.

If a function is not continuous at a number, then it is not differentiable there.

If a function is continuous at a number, then it is differentiable there.

If a function is differentiable at a number, then it is continuous there.

If a function is not differentiable at a number, then it is not continuous there.

If a function is not continuous at a number, then it is not differentiable there.

If a function is differentiable at a number, then it is continuous there.

If a function is not continuous at a number, then it is not differentiable there.