Question

The number of intersection points of the function $f\left(x\right)=\tan x$ and $y=3\forall x\in (-2\pi ,2\pi )-(2n+1)\frac{\pi }{2},n\in Z$ are:

• A. $2$
• B. $4$
• C. $3$
• D. $5$

Answer 1

The correct option is B $4$

Draw the graph of $\tan x$ and the graph of $y=3$ together.

In the interval $x\in (-2\pi ,2\pi )$, we can see that the number of intersection points are $4$.