Question

hw9 the derivative as a function (targets l6, d1, d2; §3.2) score: 2/9 answered: 2/9 question 3 the graph of the slopes of the red function has which color? orange green black blue question help: video message instructor

Explanation:

Step1: Recall derivative concept

The derivative of a function gives the slope of the tangent - line to the function at each point. So, the graph of the slopes of a function is its derivative graph.

Step2: Analyze the red - function's slope behavior

Observe the red function's increasing and decreasing intervals. When the red function is increasing, its slope (derivative) is positive, and when it is decreasing, its slope (derivative) is negative. Analyze the shape of the red function's graph and match it with the shape of the other graphs based on these slope characteristics.

Step3: Match the derivative graph

By comparing the behavior of the red function's slope (increasing or decreasing nature, sign changes) with the other graphs, we can determine that the graph of the slopes of the red function is the green graph.

Answer:

green