Question

Select the correct graph of the function $f\left(x\right)=\tan |x+\frac{\pi }{3}|.$

• A.
• B.
• C.

Answer 1

The correct option is C

Given: $f\left(x\right)=\tan |x+\frac{\pi }{3}|.$

Now, the graph of $\tan x$ is given as:


Now, let's draw the graph of $\tan |x|$ for which we will flip the portion of graph in $x>0$ along the y - axis as:


Now, shifting this graph to the left by $\pi /3$ units, we will get the graph of $f\left(x\right)$ as: