practice examples 1 and 2 identify and estimate the x - and y - values of the extrema. round to the nearest…

practice examples 1 and 2 identify and estimate the x - and y - values of the extrema. round to the nearest tenth if necessary. 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 describe the end behavior of each function.

practice examples 1 and 2 identify and estimate the x - and y - values of the extrema. round to the nearest tenth if necessary. 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 describe the end behavior of each function.

Answer

Explanation:

Step1: Identify extrema for graphs 1 - 4

For each graph, look for the peaks (relative maxima) and valleys (relative minima). The x - value is the horizontal coordinate and the y - value is the vertical coordinate of these points. Estimate these values by looking at the grid lines.

Step2: Analyze problem 5

The relative maxima of the function representing the hills' shape are the highest points of the hills. They represent the tops of the hills in the videogame background. The relative minima are the lowest points between the hills, representing the valleys between them.

Step3: Describe end - behavior for graphs 6 - 9

For graph 6, as (x\to-\infty), (y\to-\infty) and as (x\to+\infty), (y\to+\infty) since it is a straight - line with a positive slope. For graph 7, as (x\to-\infty), (y\to-\infty) and as (x\to+\infty), (y\to-\infty) because it is a downward - opening even - degree polynomial. For graph 8, as (x\to-\infty), (y\to-\infty) and as (x\to+\infty), (y\to+\infty) as it is an upward - opening non - linear function. For graph 9, as (x\to-\infty), (y\to+\infty) and as (x\to+\infty), (y\to-\infty) as it is a downward - opening non - linear function.

Answer:

1 - 4: Estimated x and y values of extrema vary by graph. 5: Relative maxima are hill tops, relative minima are valleys. 6: As (x\to-\infty), (y\to-\infty); as (x\to+\infty), (y\to+\infty). 7: As (x\to-\infty), (y\to-\infty); as (x\to+\infty), (y\to-\infty). 8: As (x\to-\infty), (y\to-\infty); as (x\to+\infty), (y\to+\infty). 9: As (x\to-\infty), (y\to+\infty); as (x\to+\infty), (y\to-\infty).