For f(x) = (x − 4)/(1 + x 2 ) + tan -1 x, find all characteristics listed below. Do not find the x-intercepts or check for symmetry. Approximations of answers may be used as needed. If any of the...

For f(x) = (x − 4)/(1 + x²) + tan^-1x, find all characteristics listed below. Do not find the x-intercepts or check for symmetry. Approximations of answers may be used as needed. If any of the characteristics are not present in the function, state NONE. Then, using these characteristics, sketch the curve. must show all steps.

Inc:

Dec:

Loc. Max:

Loc. Min:

Concave up:

Concave down:

Inflection points: