CPM Homework Banner
1-59.

Each of the continuous functions in the table below is increasing, but each increases differently. Match each graph below with the function that grows in a similar fashion in the table.  

  1. Unscaled First quadrant graph, increasing ray starting at about 1 third up on y axis, continuing up & right.

    Graph (a) is linear. Straight lines grow at a constant rate. Which function on the table is growing at a constant rate.

  2. Unscaled first quadrant graph, increasing curve, opening down, starting at about 1 third up on y axis, continuing up & right.

    Graph (b) is increasing (the -values are going up), but it is getting less and less steep as it increases. Which function is getting less and less steep?

    Steepness can be determined by rate of change: 

  3. Unscaled first quadrant graph, increasing curve, opening up starting at about 1 third up on y axis, continuing up & right.

    Graph (c) is increasing (the -values are going up), AND it is getting more and more steep as it increases.

Use the eTool below to create the graphs of the functions.
Click the link at right for the full version of the eTool: Calc 1-59 HW eTool