Final answer:
The function g(x)=-(2/3)x+9x-11 is linear and does not have a minimum or a maximum value because its graph is a straight line that continues to increase indefinitely.
Step-by-step explanation:
The maximum or minimum value of the function g(x) = -(2/3)x + 9x - 11 can be found by determining if the function opens upward or downward. This is a linear function, as it is written in the standard form y=mx+b, where m is the slope, and b is the y-intercept. Since the slope is positive (the coefficient of x is positive when you combine like terms, m = 9 - (2/3)), the line is sloping upwards, indicating that the function does not have a maximum value; it increases indefinitely. However, because it is a linear function and not a quadratic function, it doesn't have a maximum or a minimum value that we typically look for in quadratic functions.