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What is a minimum and maximum of a function?

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Updated: 9/26/2023

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Q: What is a minimum and maximum of a function?

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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.

What is an extreme value in a set?

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

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 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.

How do you find maximum or minimum of a function?

y=2x2-3x2-12x+5=0

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Related Questions

What is maximum or minimum of function?

Addition is the maximum or minimum function in math.

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.

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 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 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 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.

How do you find maximum or minimum of a function?

y=2x2-3x2-12x+5=0

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