Let f be the function given by f(x) = (|x ^ 2 -3| * (x + 0.5))/((x ^ 2 - 3)(x + 0.5)) which of the following open intervals is f continuous ?

Question

Let f be the function given by f(x) = (|x ^ 2 -3| * (x + 0.5))/((x ^ 2 - 3)(x + 0.5)) which of the following open intervals is f continuous ?

A ) (- 2, - 1)

B ) (- 1, 0)

C) (0, 1)

D) (1, 2)

I apologize for the format, this is a fraction, so obviously you can see from the division symbol. Please help!

Answer 1

The function f(x) is undefined for x = -sqrt(3), -0.5, +sqrt(3)

A) is not the right answer because it contains -sqrt(3)

B) is not the right answer because it contains -0.5

C) is the right answer

D) is not the right answer because it contains sqrt(3)