The function graphed to the right is of the form y a tan bx

The function graphed to the right is of the form y = a tan bx or y = a cot bx for some a = 0. b > 0. Determine the equation of the function. (Half- and quarter-points are identified by dots.) An equation of the function shown is y =

Solution

The given graph is of tangential function.

So, y=a tan bx.

Now, period of function is pi. So b=1.

Value of y(pi/4)=6. So a=6.

Therefore, y=6 tan x.