For the function

MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

For the function g(x)=−arctan⁡(2x)+π2g(x)= -\arctan(2x)+\dfrac{\pi}{2}, answer the following: (i) Write the equations of its horizontal asymptotes. (ii) State whether g(x)g(x) is increasing or decreasing on R\mathbb R. Justify your answer briefly.

Related theory

Browse the problem library