Determine what numbers, if any,the given function is discontinuous.?

Question

1. f(x)=c

2. f(x)={x-2, if x<=2

{x^2-1, if x>2

Answer 1

1) No discontinuity

2) x=2 is a point of discontinuity

Graph the function (problem 2) and you&#039;ll see it.

Answer 2

1.f(x) = c

=&gt; f &#039;(x) = 0

2. f(x) = x-2, x&lt;= 2 and x^2-1, x &gt;2

=&gt; f &#039;(x) = 1, x&lt;=2 and 2x, x&gt;2

so at x =2 f(x) is discontinuous as f &#039;(x) changes value