Question

What;s the min and max of y=tan2x-3?

Answer 1

doesn't have one

Answer 2

unless that 2 is a square

Answer 3

tan doesn't have min and max? sin and cos do, through right?

Answer 4

i know that, just not sure if theres a min or max like cos and sin with the amplitude

Answer 5

I think we can say the amplitude is not finite.

Answer 6

but it just repeats itself so that would technically be a max point

Answer 7

but i can see why tangent never ends

Answer 8

yes \(\tan x\) is periodic with a period of \(\pi\)

Answer 9

\[\tan(x)=\tan(x+\pi)\]

Answer 10

so basically i can put any points i want for the y axis

Answer 11

Yes the function takes all real numbers as y value. Its range is \((-\infty, ~\infty)\)