Question

Print out the graph paper from the "Let's Review" section. Sketch the graph of y = 2tanx for -pi/2 ≤ x ≤ pi/2

Answer 1

Answer:

The graph is attached below.

Same asymptote as similarity and the slopes are different.

Step-by-step explanation:

We need to find the graph of $y = 2 \times tanx.......... \frac{-\pi }{2} \leq x \leq \frac{\pi }{2}$

When $x = 0; y = 0\\x = \frac{\pi }{4} ; y = 2\\x = - \frac{\pi }{4} ; y = -2$

and $\lim_{x \to \frac{\pi }{2} } y = \infty\\ \lim_{x \to - \frac{\pi }{2} } y = - \infty$

The asymptotes are $x = \frac{\pi }{2} \\ x = - \frac{\pi }{2}$

If we compare the graphs of $y = 2 \times tanx.....(1)\\y = tanx$......(2)

then the similarities are, they have same asymptote.

Difference between them is the rate of change that is the slope of the equations.