Question

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

Answer 1

f(x) =

Answer 2

@timo86m can you help?

Answer 3

The only possible discontuity is at x = 5 (because that's where the function breaks).

So test x= 5 in both functions..from the left of 5, and to the right of 5.

Answer 4

From the left of 5: (x - 5) approaches 0, as x approaches 5.

Answer 5

what happens as x approaches 5 from the right?

Answer 6

plot it for me and you'll see it easier

Answer 7

im sorry guys im totally lost :/

Answer 8

I shall try plotting that