Increasing/ Decreasing/Constant Intervals of Functions
1. Label the increasing and decreasing intervals. (Click on the blue dots to begin typing.) Decreasing Increasing Decreasing Increasing Decreasing Increasing Use the graph below to answer questions 2 and 3. 2. Is the function increasing, decreasing, or constant on the interval (-8, -2) ? Increasing Decreasing Constant 3. Is the function increasing, decreasing, or constant on the interval (2, 5) ? Increasing Decreasing Constant Use the graph below to answer question 4. 4. Sort the increasing and decreasing intervals based on the graph above. Increasing (-1,0) (1,∞) Decreasing (-∞, -1) (0,1) 5. Using the graph below, list the interval(s) where the function is increasing. Use inf for infinity. (When writing your answers start from the left-side of the graph and then move right.) The graph of the function increases on the intervals (-8,-2) , (0,2) , and (5,inf) . (MAKE SURE TO WRITE ANSWERS IN INTERVAL NOTATION.) 6. Using the graph below, list the interval(s) where the function is decreasing. Use -inf for negative infinity. (When writing your answers start from the left-side of the graph and then move right.) The graph of the function decreases on the intervals (-inf,-8) , (-2,0) , and (2,5) . (MAKE SURE TO WRITE ANSWERS IN INTERVAL NOTATION.) 7. On the graph below, click on each blue dot and type the interval on which the function increases, decreases, or is constant. constant increase Constant decrease