Question

Plot the graph of $|y|=ln\left(x\right)$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We want to plot $|y|=lnx$.

$|y|$ is always positive (y can be negative) so lnx should also be positive. We will remove the part where lnx becomes negative.

If lnx is positive, $|y|=lnx\Rightarrow y=\mp lnx$ (This is similar to $|x|=3\Rightarrow x=\mp 3)$

So, we will plot lnx first then remove the part below x-axis. In the next step we will plot $y=+lnxandy=-lnx$ together, because $y=\mp lnx$. (We just have to take the reflection of the previous curve in this step).