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

The given function is f(x) = 2x2 – 1At x = 3, f(x) = f(3) = 2 × 32 – 1 = 17 = 2 × 32 – 1 = 17Thus, Therefore, f is continuous at x = 3

Q2 of 147 Page 159

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

The given function is f(x) = 2x² – 1

At x = 3, f(x) = f(3) = 2 × 3² – 1 = 17

= 2 × 3² – 1 = 17

Thus,

Therefore, f is continuous at x = 3

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

Examine the following functions for continuity.

f (x) = x – 5

Examine the following functions for continuity.