Calculus: General Differentiation – #1597

Question: Given the function:

g(x) = x3 + 4x2 – 25x – 100

a) For what values of x is this function increasing? (use interval notation)

b) For what values of x is this function decreasing? (use interval notation)

c) What values of x correspond to relative or local minimum and maximum values?

d) What are the relative maximum and minimum values of g(x)?

e) What is/are the inflection point(s)? (give x and y values)

f) Identify the intervals where g(x) is concave up and where g(x) is concave down. (use interval notation)

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