Question

the table defines snowfall as a function of elevation for a recent snowstorm in a city. a function that closely models the data in the table is f(x)=0.0027x + 2. enter this function into a y variable on a calculator. complete parts a through g. d. the meaning of f(-2000) is at an elevation of 2000 feet below sea level, there were approximately inches of snowfall. d. use the table values to set appropriate window values to view the graph. graph the function f on your calculator. identify the window you used. graph the function using an appropriate viewing window. choose the correct graph below. a. b. c. d. x_min = 0 x_max = 2000 y_min = 0 y_max = 20 x_min = 0 x_max = 2000 y_min = 0 y_max = 20 x_min = 0 x_max = 5000 y_min = 0 y_max = 15 x_min = 0 x_max = 5000 y_min = 0 y_max = 15

Explanation:

Step1: Analyze the domain of x - values

The elevation values (x - values) in the table range from 1000 to 4000. To view the entire range of relevant data and a bit more for context, we can choose an x - minimum value slightly less than the smallest x - value in the table and an x - maximum value slightly greater than the largest x - value in the table. So, a reasonable \(X_{min}=0\) and \(X_{max} = 5000\).

Step2: Analyze the range of y - values

The snowfall values (y - values) in the table range from 5 to 13. To view the entire range of relevant data and a bit more for context, we can choose a y - minimum value slightly less than the smallest y - value in the table and a y - maximum value slightly greater than the largest y - value in the table. So, a reasonable \(Y_{min}=0\) and \(Y_{max}=15\).

Answer:

The appropriate window is \(X_{min}=0\), \(X_{max}=5000\), \(Y_{min}=0\), \(Y_{max}=15\), so the correct graph is C.