5. landscapes jalen uses a graph of a function to model the shape of two hills in the background of a…

5. landscapes jalen uses a graph of a function to model the shape of two hills in the background of a videogame that he is writing. estimate the x - coordinates at which the relative maxima and relative minima occur. describe the meaning of the extrema in the context of the situation. examples 3 - 5

5. landscapes jalen uses a graph of a function to model the shape of two hills in the background of a videogame that he is writing. estimate the x - coordinates at which the relative maxima and relative minima occur. describe the meaning of the extrema in the context of the situation. examples 3 - 5

Answer

Explanation:

Step1: Identify relative maxima

Look for the peaks on the graph. The x - coordinates of relative maxima seem to be approximately $x=-2$ and $x = 2$.

Step2: Identify relative minima

Look for the valleys on the graph. The x - coordinate of the relative minimum seems to be approximately $x = 0$.

Step3: Interpret the extrema

In the context of the videogame, the relative maxima represent the highest points of the hills. The relative minimum represents the lowest point between the two hills.

Answer:

Relative maxima at $x\approx - 2$ and $x\approx2$; relative minimum at $x\approx0$. The relative maxima are the highest points of the hills and the relative minimum is the lowest point between the two hills.