Step-by-step explanation: To determine whether points A and B are relative maxima, relative minima, or neither, we need to look at the slope of the graph at each point. If the graph is changing from increasing to decreasing at a point, it is a relative maximum. If the graph is changing from decreasing to increasing at a point, it is a relative minimum. If the slope is 0 or undefined at a point, it is neither a relative maximum nor a relative minimum.
Point A:
The slope of the graph at point A is positive. This means that the height of the waterslide is increasing as we move away from the start. Therefore, point A is not a relative maximum or minimum.
Point B:
The slope of the graph at point B is negative. This means that the height of the waterslide is decreasing as we move away from the start. Therefore, point B is a relative maximum.
In the context of this situation, a relative maximum means that the height of the waterslide is at its highest point at this location. A relative minimum means that the height of the waterslide is at its lowest point at this location.
Here is my homemade table summarizing the points and their corresponding descriptions:
Point Description
A Neither a relative maximum nor a relative minimum
B Relative maximum