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tiana morales

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3y ago

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What is the maximum value that the graph of ycosx assume?

Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.


How do you know if a point is a maximum or a minimum?

Usually at the minimum or maximum of a function, one of the following conditions arises:The derivative is zero.The derivative is undefined.The point is at the end-points of the domain that is being considered (or of the naturally-defined domain, for example, zero for the square root).This will give you "candidate points"; to find out whether each of these candidate points actually is a maximum or a minimum, additional analysis is required. For example, if the second derivative is positive, you have a minimum, if the second derivative is negative, you have a maximum - but if it is zero, it may be a maximum, a minimum, or neither.


How is the Degree of a polynomial function related to range?

If the domain is infinite, any polynomial of odd degree has infinite range whereas a polynomial of even degree has a semi-infinite range. Semi-infinite means that either the range has a real minimum but no maximum (ie maximum = +infinity) or that it has a real maximum but no minimum (ie minimum = -infinity).


What is the maximum or minimum point called?

A maximum or minimum is generally referred to as an extrema.


How do you determine wheather a quadratic function has a maximum or minimum and how do you find it?

In theory you can go down the differentiation route but because it is a quadratic, there is a simpler solution. The general form of a quadratic equation is y = ax2 + bx + c If a > 0 then the quadratic has a minimum If a < 0 then the quadratic has a maximum [and if a = 0 it is not a quadratic!] The maximum or minimum is attained when x = -b/2a and you evaluate y = ax2 + bx + c at this value of x to find the maximum or minimum value of the quadratic.

Related Questions

How do you find the minimum or maximum of a function?

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.


What is the maximum and minimum of quadratic function parent function?

The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....


How do you determine the range of a function?

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.


How can you use the zeros of a function to find the maximum or minimum value of the function?

You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.


Is a function that is continuous over a finite closed interval not have a maximum or a minimum value over that interval?

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.


What is an extreme value in a set?

the maximum or minimum value of a continuous function on a set.


How do you find minimum and maximum value of calculus?

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.


What is the maximum value that the graph of ycosx assume?

Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.


How do you find the minimum and maximum points of a function?

Set the first derivative of the function equal to zero, and solve for the variable.


How can a quadratic function have both a maximum and minimum point?

It can't - unless you analyze the function restricted to a certain interval.


How can a quadratic function have both a maximum and a minimum point?

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.


What are the maximum and minimum value for the objective function 4x plus 9y?

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.