1. 15 points SCalcET8 4.3.003 My Notes Ask Your Teacher Suppose you are given a formula for a function f (a) How do you determine where f is increasing or decreasing? If f(x) | ? ì 0 on an interval, then f is increasing on that interval. If f'(x) 73) 0 on an interval, then f is decreasing on that interval. (b) How do you determine where the graph of f is concave upward or concave downward? I x) o for all x in I, then the graph of f is concave upward on I. If f"(x) ? 0 for all xin 1, then the graph of f is concave downward on 1. (c) How do you locate inflection points? At any value of x where the concavity changes, we have an inflection point at (x, x)) At any value of x where the concavity does not change, we have an inflection point at (x, fx)) At any value of x where f'(x) = 0, we have an inflection point at (x, f(x)). At any value of x where the function changes from decreasing to increasing, we have an inflection point at (x, (x) At any value of x where the function changes from increasing to decreasing, we have an inflection point at (x, x) Need Help? Rdt Watch It Talk to a Tutor