Question

True or False: The function y = (x2 – 4)/(x2 – 4) is continuous for all values of x

Answer 1

False

Explanation:

The function isn't continuous at x=±2 as a function isn't continuous at the point where the function becomes undefined, this function becomes undefined when the denominator is equal to 0. So x^2-4=0 => x=±2.