A function f(x) is defined by : f(x) = cases x + 2, & if x 0 cases Which of the following is true ? Option 1: f(x) is discontinuous at x = 0. Option 2: f(x) is not a function as f(0) is not defined. Option 3: f(x) is a continuous function on its domain. Option 4: f(x) is a discontinuous function on its domain.

The answer is 'f(x) is a continuous function on its domain.'. View full solution:

CUET Mathematics - A function f(x) is defined by : f(x) = cases x + 2, & if x < 0 \\ -x + 2, & if x > 0 cases Which of the following is true ? | PYQs + Solutions

CUET Mathematics 2022 7 Aug Shift 2

Calculus

Medium

$f(x)$ is discontinuous at $x = 0$ .

$f(x)$ is not a function as $f(0)$ is not defined.

$f(x)$ is a continuous function on its domain.

$f(x)$ is a discontinuous function on its domain.

✅ Correct Option: 3