Determine all intervals in which the graph of f is increasing

Answer 1

Increasing function go UP as you move from left to right like this:

Decreasing functions go DOWN as you move left to right like this:

So to answer the question, find the values of "x" where the graph is going UP as you move left to right and that will be where the function is increasing. Then find the values of "x" where the graph is going DOWN as you move left to right and that will be where the function is decreasing.