A minimum value can be represented graphically as a point on a curve where the function reaches its lowest point. It is also known as the local minimum because it is the smallest value of the function within a specific range.
Here is a simple example to illustrate this concept:
Consider the function f(x) = x^2. If we plot this function on a graph, we will see that it is a parabola that opens upwards. The lowest point on this curve is the point where the curve changes direction, from decreasing to increasing. This point is the minimum value of the function.
We can represent this minimum value graphically by drawing a point at the lowest point on the curve. The x-coordinate of this point represents the value of x where the minimum occurs, and the y-coordinate represents the minimum value of the function at that point. In this case, the point would be (0,0), since the minimum value of the function is zero and it occurs at x=0.
In summary, a minimum value is the lowest point on a curve and is represented graphically as a point on the curve where the function reaches its smallest value.