Answer:
As x approaches positive infinity, the average salary for science and engineering faculty will eventually be greater than the average salary for arts and humanities faculty.
Step-by-step explanation:
First consider the f(x) values on the graph as x increases on the interval 0 to 10 years. The average salary increases over the entire interval and reaches a maximum value of approximately $66,000.
Next create a table to show the values for function g.
0 16,188
1 18,366
2 21,101
3 25,000
4 40,000
5 55,000
6 58,899
7 61,634
8 63,811
9 65,650
10 67,257
The maximum value of function g is greater than the maximum value of function f. Therefore, as x approaches positive infinity, the average salary for science and engineering faculty will eventually be greater than the average salary for arts and humanities faculty.
