Question

The minimum of $f\left(x\right)=\left|3-x\right|+7$ is

• A. $0$
• B. $6$
• C. $7$
• D. $8$

Answer 1

The correct option is C

$7$

Explanation for the correct option

Find the minimum value of the given function.

A function $f\left(x\right)=\left|3-x\right|+7$ is given.

It is clear that the given function will be minimum when $\left|3-x\right|$ is minimum. which is a modulus function and we know that the minimum value of the modulus function is zero.

Therefore, the minimum value of the given function is $7$.

Hence, option $C$ is the correct answer.