True
Addition is the maximum or minimum function in math.
By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.
· whether it is linear, quadratic or exponential · whether it has an upper or lower bound · whether it has a minimum or a maximum value · whether it is constant, decreasing or increasing
The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....
Find the maximum and minimum values that the function can take over all the values in the domain for the input. The range is the maximum minus the minimum.
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
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.
In Calculus, to find the maximum and minimum value, you first take the derivative of the function then find the zeroes or the roots of it. Once you have the roots, you can just simply plug in the x value to the original function where y is the maximum or minimum value. To know if its a maximum or minimum value, simply do your number line to check. the x and y are now your max/min points/ coordinates.
the maximum or minimum value of a continuous function on a set.
Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.
To determine the maximum and minimum values of the objective function (4x + 9y), you need to specify the constraints of the problem, such as inequalities or boundaries for (x) and (y). Without these constraints, the function can theoretically increase indefinitely. If you provide a feasible region or constraints, I can help calculate the maximum and minimum values based on those limits.
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.