# calculus

posted by
**Anonymous**
.

Give a reasonable sketch, on the axes provided, of the graph of the

function x/(x^2-1)^1/2 showing all characteristics. Use the following pieces

to justify your sketch.

a) Domain ?

b) coordinates x and y intercepts ?

c) Symmetry ? is the function odd, even, or neither ?

d) Asymptotes: Note For vertical asymptotes, you must state all, listing the

values, calculating at least two of the limits. For horizontal asymptotes,

you have the choice of calculating them or giving a valid, mathematical

reason for your answer. Make sure to properly label them.

e) Interval(s) where Increasing and Decreasing ?

f) Local Maximum and Minimum Values ?

g) Interval(s) of Concavity and Points of Inflection (POI)?

h)Sketch the graph.