Answer:
Step-by-step explanation:
We need to find the graph of [tex]y = 2 \times tanx.......... \frac{-\pi }{2} \leq x \leq \frac{\pi }{2}[/tex]
When [tex]x = 0; y = 0\\x = \frac{\pi }{4} ; y = 2\\x = - \frac{\pi }{4} ; y = -2[/tex]
and [tex]\lim_{x \to \frac{\pi }{2} } y = \infty\\ \lim_{x \to - \frac{\pi }{2} } y = - \infty[/tex]
The asymptotes are [tex]x = \frac{\pi }{2} \\ x = - \frac{\pi }{2}[/tex]
If we compare the graphs of [tex]y = 2 \times tanx.....(1)\\y = tanx[/tex]......(2)
then the similarities are, they have same asymptote.
Difference between them is the rate of change that is the slope of the equations.
