TRUE OR FALSE

Question 1

If a function is continuous at a point, then the function must be defined at that point

Answer 1

TRUE

Question 2

If a function is not defined at a point, it cannot be continuous at that point.

Answer 2

TRUE

Question 3

If the general limit exists, then the function is continuous at x=a

Answer 3

FALSE

Question 4

A function with a removable discontinuity at x=a can be made continuous by redefining f(x)

Answer 4

TRUE

Question 5

If the left hand side of the limit is equal to the right hand side of the limit, then the function is continuous at x = a

Answer 5

FALSE

Question 6

A function can be discontinuous at a point even if it is defined there

Answer 6

TRUE

Question 7

A polynomial function is always continuous at every real number

Answer 7

TRUE

Question 8

If a function is continuous at a point, then its left-hand limit and right-hand limit at that point are equal.

Answer 8

TRUE

Question 9

A function with a jump discontinuity at x=a can be made continuous by redefining f(x)

Answer 9

FALSE

Question 10

A function that is not continuous at a point must have an infinite limit at that point.

Answer 10

FALSE