for each of the following graph, identify if the rate of change is linear (constant) and if it is increasing…

Explanation:

Step1: Analyze the first graph

As $x$ increases, $y$ increases. The rate of change (ROC) is positive. The graph is a straight - line, so the ROC is constant. There is no increasing or decreasing ROC.

Step2: Analyze the second graph

As $x$ increases, $y$ increases, so ROC is positive. The graph is a curve that is getting steeper, so the ROC is increasing. It is not constant and not decreasing.

Step3: Analyze the third graph

As $x$ increases, $y$ decreases, so ROC is negative. The graph is a straight - line, so the ROC is constant. There is no increasing or decreasing ROC.

Answer:

First graph: (+) ROC, Constant ROC, No Decreasing ROC, No Increasing ROC Second graph: (+) ROC, No Constant ROC, No Decreasing ROC, Increasing ROC Third graph: (-) ROC, Constant ROC, No Decreasing ROC, No Increasing ROC