Question

1

Consider y = ----------.

(x^2) – 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.