A function assigns values. The difference between the maximum value of g(x) and the minimum value of f(x) is 18.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
Since the maximum of the parabola function g(x) will lie at its vertex, therefore, the maximum will be at (3,12). Now, if we try to find the minimum of the function f(x). We need to plot the function on the graph as shown below.
As the minimum of the function f(x) will lie at the vertex of the parabola function, therefore the minimum of the function f(x) will lie at (3,-6).
If we try to find the difference between the maximum value of g(x) and the minimum value of f(x), then we will get,
[tex]\rm Difference=12-(-6)=18[/tex]
Thus, the difference between the maximum value of g(x) and the minimum value of f(x) is 18.
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