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)