SOLUTION: Please help Write a tangent function, g(x), such that the halfway points on one period are (pi/4,2) and (3pi/4,-2) G(x)=______ Here’s a picture of the problem if you need it h

Algebra ->  Trigonometry-basics -> SOLUTION: Please help Write a tangent function, g(x), such that the halfway points on one period are (pi/4,2) and (3pi/4,-2) G(x)=______ Here’s a picture of the problem if you need it h      Log On


   



Question 1115595: Please help
Write a tangent function, g(x), such that the halfway points on one period are (pi/4,2) and (3pi/4,-2)
G(x)=______
Here’s a picture of the problem if you need it
https://ibb.co/dr7awx

Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


The two halfway points in the period are at pi/4 and 3pi/4; that means a complete period is from 0 to pi. So the period is the same as the basic tangent function; but it is shifted pi/2 units to the right.

The y values at the halfway points of the basic tangent function are -1 and 1; with the y values at the halfway points in this example 2 and -2, the basic tangent function is multiplied by -2, and there is no vertical shift.

So the function is
g%28x%29+=+-2%2Atan%28x-pi%2F2%29