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What else can I help you with?
Does a differentiable function have to have a relative minimum between any two relative maximum?
Yes.
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.
Does every graph of a cubic function have relative maximum and minimum points?
No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself For those that are unfamiliar with a point of inflection <http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>
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.
Does a differentiable function have to have a relative minimum between any two relative maximum?
Yes.
What are extremes in math?
the first or the last term of a proportion or series. a relative maximum or relative minimum value of a function in a given region.
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.
Does every graph of a cubic function have relative maximum and minimum points?
No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself For those that are unfamiliar with a point of inflection <http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>
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.
How do you determine the relative minimum and relative maximum values of functions and the intervals on which functions are decreasing or increasing?
You take the derivative of the function. The derivative is another function that tells you the slope of the original function at any point. (If you don't know about derivatives already, you can learn the details on how to calculate in a calculus textbook. Or read the Wikipedia article for a brief introduction.) Once you have the derivative, you solve it for zero (derivative = 0). Any local maximum or minimum either has a derivative of zero, has no defined derivative, or is a border point (on the border of the interval you are considering). Now, as to the intervals where the function increase or decreases: Between any such maximum or minimum points, you take any random point and check whether the derivative is positive or negative. If it is positive, the function is increasing.
How do you find relative minimum and maximum according to a graph in math?
Any graph should be titled and have maximum and minimum values listed on it. The minimum values are usually on the bottom left and the maximum values are on the top right and bottom right of the graph.
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.
