Consider the inverse of the tangent function.
a. Find the values of tan -1 x for several positive and negative values of x.
b. Based on these answers, predict what the graph of y = tan -1 x will look like.
Sketch your prediction.
c. How does the graph of y = tan -1x compare to the graph of x = tan y?
d. Use your calculator to verify your graph of the function
y = tan-1 x