which of these graphs do not represent constant rates of change? check all that apply.

Explanation:

Step1: Recall rate - of - change concept

The rate of change of a function is constant if its graph is a non - vertical straight line. A non - straight line graph has a non - constant rate of change.

Step2: Analyze each graph

• The first graph is a parabola (a quadratic function (y = ax^{2}+bx + c,a\neq0)). Its slope changes at different points, so it does not have a constant rate of change.
• The second graph is a curve (not a straight line), so its rate of change is not constant.
• The third graph is a straight line. The rate of change (slope) of a straight line (y=mx + b) is (m) (constant).
• The fourth graph is a curve (not a straight line), so its rate of change is not constant.

Answer:

The first graph, the second graph, the fourth graph.