Final Answer:
The given function g(x) = -(2/3)x + 9x - 11 represents a linear equation. As it's a linear function, it doesn't have a maximum or minimum value; rather, it continues indefinitely in both directions.
Step-by-step explanation:
The function g(x) = -(2/3)x + 9x - 11 is a linear equation in the form of y = mx + c, where 'm' represents the slope and 'c' is the y-intercept. In this case, the slope is the coefficient of x, which is -2/3, and the y-intercept is -11.
To find the maximum or minimum value of a function, one usually looks at quadratic or higher-degree functions. However, linear functions like this one continue indefinitely in both positive and negative directions without reaching a maximum or minimum point. Therefore, g(x) doesn't have a maximum or minimum value.
The function represents a straight line on a graph, with a slope of -2/3. This means the line decreases as x increases, but it does not have a turning point where it reaches a maximum or minimum value.
Consequently, there's no specific x-value that would yield a maximum or minimum output for this function; it extends infinitely in both directions along the x-axis. Hence, it's essential to note that linear functions lack maximum or minimum values and continue indefinitely, unlike quadratic or higher-degree functions.