Question

Graph the function $f\left(x\right)=2|x-1|$ and find gradient of $f\left(x\right)$.

• A. $\pm 2$
• B. $\pm 1$
• C. $0$
• D. None of the above

Answer 1

Answer: (A)

$\pm 2$

Given $f\left(x\right)=2|x-1|$.

Gradient of $f\left(x\right)$ is given by $▽f=\frac{\partial f}{\partial x}$

$\therefore ▽f=2|1|=2(\pm 1)=\pm 2$.

The graph of the function $f\left(x\right)=2|x-1|$ is given by