Increasing and Decreasing Function Behavior
You're given three graphs. Each of them is labeled and accompanied by a set of questions. First, answer each question as well as you can individually using complete sentences. Then compare your answers with those of your group members and discuss any differences.
To the right is a graph of the function f(x) whose domain is the interval [A,G]. Write any intervals in which the function f(x) is increasing. Write any intervals in which the function f(x) is decreasing.
To the right is a graph of the function y = g'(x), the derivative of the function g(x). The domain of this derivative is the interval [A,H]. State the intervals in which the function g(x) would be increasing. Give reasoning to support your answer.
State the intervals in which the function g(x) would be decreasing. Give reasoning to support your answer.