# Business calculus homework

**Question description**

for f(x) = x^2 / x^2 - 4

a) the domain of f(x),

b) the intercepts of f(x),

c) any asymptotes of f(x),

d) the intervals where f(x) is increasing and/or decreasing,

e) any local extrema,

f) the intervals where f(x) is concave up and/or concave down, and

g) the points of inflection.

After finding this information, use it to sketch y = f(x). Please label all

answers.

For f(x) = 3x^3 – 6x^2

a) the intervals where f(x) is increasing and/or decreasing,

b) the local extrema,

c) the intervals where f(x) is concave up and/or concave down, and

d) the points of inflection.

After finding this information, use it to sketch y = f(x). Please label all

answers.

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