Since the range of the cosine function is (-1,1), the function y = cos(x) assumes a minimum value of -1 for y.
y = -9
There is no minimum value for the cosecant function.
A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.
the maximum or minimum value of a continuous function on a set.
A function that is continuous over a finite closed interval must have both a maximum and a minimum value on that interval, according to the Extreme Value Theorem. This theorem states that if a function is continuous on a closed interval ([a, b]), then it attains its maximum and minimum values at least once within that interval. Therefore, it is impossible for a continuous function on a finite closed interval to not have a maximum or minimum value.
-1
y = -9
There is no minimum value for the cosecant function.
A global minimum is a point where the function has its lowest value - nowhere else does the function have a lower value. A local minimum is a point where the function has its lowest value for a certain surrounding - no nearby points have a lower value.
The global minimum value is always negative infinity.
It if the max or minimum value.
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
the maximum or minimum value of a continuous function on a set.
The answer will depend on the ranges for x and y. If the ranges are not restricted, then C can have any value.
The minimum value of the function u(x, y) occurs at the point where the function reaches its lowest value when both x and y are considered as variables.
A relative minimum is a point where a function's value is lower than that of its immediate neighbors, but it is not necessarily the lowest value over the entire domain. An absolute minimum, on the other hand, is the lowest value of the function across its entire range. Therefore, while a relative minimum can be an absolute minimum if it is the lowest point overall, they are not the same and one does not imply the other.
A function that is continuous over a finite closed interval must have both a maximum and a minimum value on that interval, according to the Extreme Value Theorem. This theorem states that if a function is continuous on a closed interval ([a, b]), then it attains its maximum and minimum values at least once within that interval. Therefore, it is impossible for a continuous function on a finite closed interval to not have a maximum or minimum value.