sketch the graph of y=-3tan(pie/4 t)

Question

given a domain between (0,4)

-find the asymptotes

Answer 1

The function tanθ) has asymptotes for values (2m + 1)(π/2), for any integer m

 

For y = -3tan(π/4 * t)

 

The asymptotes accord for π/4 * t = (2m + 1)(π/2)

                                        t = 4m + 2

 

Also, since 0 < t < 4

                0 < 4m + 2 < 4

                -2 < 4m < 2

                -1/2 < m < 1/2

 

The only integer value for m in this range is m = 0

 

There is one asymptote when t = 2.