1
Consider y = ----------.
(x^2) â 4
a. State the domain. ____________
b. Find the y-intercept. ____________
c. Find the x-intercept(s). ____________
d. Is the function even? ____________
e. Is the function odd? ____________
f. State the equation of the horizontal asymptote, if any. ____________
g. State the equation of the slant asymptote, if any. ____________
h. State the equation of the vertical asymptote, if any. ____________
i. State the interval(s) on which the function is decreasing. ____________
j. State the interval(s) on which the function is increasing. ____________
k. Find the local maximum value(s). ____________
l. Find the local minimum value(s). ____________
m. Find the inflection point(s). ____________
n. Find the interval(s) on which the function is concave down. ____________
o. Find the interval(s) on which the function is concave up. ____________
p. Sketch the graph of the curve on the axes below and to the left.