Q3 of 147 Page 159

Examine the following functions for continuity.
f (x) = x – 5

a) The given function is f(x) = x – 5

We know that f is defined at every real number k and its value at k is k – 5.

We can see that = k – 5 = f(k)

Thus,

Therefore, f is continuous at every real number and thus, it is continuous function.

Prove that the function f (x) = 5x – 3 is continuous at x = 0, at x = – 3 and at x = 5.

Examine the continuity of the function f (x) = 2x² – 1 at x = 3.

Examine the following functions for continuity.

Examine the following functions for continuity.f (x) = x – 5