Question

homework 3.2 the derivative as a function score: 90/110 answered: 9/15 question 13 the graph of the slopes of the red function has which color? black green orange blue question help: video

Explanation:

Step1: Recall derivative concept

The derivative of a function gives the slope of the tangent - line to the function at each point. We need to analyze the slopes of the red function.

Step2: Observe slope behavior of red function

The red function is increasing on the left - hand side of its peak and decreasing on the right - hand side of its peak. The slope of the red function starts positive, becomes zero at the peak, and then becomes negative.

Step3: Match with given lines

The blue line has values that start positive, cross the x - axis (where the slope of the red function is zero at its peak), and then become negative, which matches the behavior of the slopes of the red function.

Answer:

blue