Learning Resources

Investigation 10: Graphing the Slope Function

To find the intervals of increase and decrease, beginning from the left hand side, trace your finger or pencil along the graph. The intervals of increase are those for which your hand is moving upward. Your hand will be moving downward for intervals of decrease. Notice that the intervals of increase and decrease alternate at places where a maximum or minimum occur.

• Increasing over the interval (-, 0) U (1.5, )
• Decreasing over the interval (0, 1.5)
• The function is neither increasing nor decreasing when x is 0 or 1.5.