Consider the function below, which has a relative minimum located at (-3 , -18) and a relative maximum located at (1/3, 14/27) f(x) = -x^3 - 4x^2 + 3x select all ordered pairs in the table which are located where the graph of f(x) is decreasing. (-1, -6) (2, -18) (0, 0) (1, -2) (-3, -18) (-4, -12)

Since relative minimum is located at point (-3 , -18) and relative maximum is located at point (1/3, 14/27), then the function is:

1. strictly decreasing for and decreasing for

2. strictly increasing for and increasing for .

Hence all points with are located where the graph of f(x) is  decreasing. There are points (2, -18), (1, -2), (-3,-18) and (-4, -12). Check if they sutisfy the function expression:

1. ;

2. ;

3. .
Note that point (-3, -18) is a turning point.

ordered pairs (2, -18), (1, -2) and (-4, -12) are located where the graph of f(x) is strictly decreasing and (-3,-18) is located where the graph of f(x) is decreasing.