What is range in math

Mean deviation

In mathematics, and more specifically in informal set theory, the range of a function refers to either the codomain or the image of the function, depending on usage. Modern usage almost always uses range to refer to the image.

Older books, when they use the word range, tend to use it to refer to what is now called the codomain.[1][2] More modern books, if they use the word range, generally use it to refer to what is now called the image.[3] To avoid confusion, several modern books do not use the word range at all.[4] When range is used to mean codomain, it refers to the codomain.[4] When range is used to mean codomain, it refers to the codomain.

When range is used to mean codomain, the image of a function f is already implicitly defined. It is (by definition of image) the (perhaps trivial) subset of the range that is equal to {y | there exists an x in the domain of f such that y = f (x)}.

When range is used to mean image, the range of a function f is by definition {y | there exists an x in the domain of f such that y = f (x)}. In this case, the codomain of f need not be specified, because any codomain containing this image as a (perhaps trivial) subset will satisfy the condition.

Wikipedia

Month 144.347Month 212.445Month 326.880Month 423.366Month 542.464Month 615.480Month 721.562Month 811.625Month 939.496Month 1039.402Month 1147.699Month 1244.315Month 1329. 581Month 1444,320Month 1535,264Month 1610,124Month 1743,520Month 1826,360Month 1919,534Month 2030,755Month 2137,327Month 2215,832Month 2333,919Month 2429,498Month 2546,136Month 2618. 007Month 2736.339Month 2827.696Month 2947.413Month 3047.636Month 3120.978Month 3249.079Month 3340.668Month 3445.932Month 3540.454Month 3646.132Month 3735.054Month 3811.906Month 3922. 532Month 4043.045Month 4145.074Month 4216.505Month 4327.336Month 4437.831Month 4529.757Month 4637.765Month 4722.237Month 4838.601Maximum49.079Minimum10.124Range38.955

Wikipedia

In mathematics, and more specifically in informal set theory, the range of a function refers to either the codomain or the image of the function, depending on usage. Modern usage almost always uses range to refer to the image.

Older books, when they use the word range, tend to use it to refer to what is now called the codomain.[1][2] More modern books, if they use the word range, generally use it to refer to what is now called the image.[3] To avoid confusion, several modern books do not use the word range at all.[4] When range is used to mean codomain, it refers to the codomain of the function.

When range is used to mean codomain, the image of a function f is already implicitly defined. It is (by definition of image) the (perhaps trivial) subset of the range that is equal to {y | there exists an x in the domain of f such that y = f (x)}.

When range is used to mean image, the range of a function f is by definition {y | there exists an x in the domain of f such that y = f (x)}. In this case, the codomain of f need not be specified, because any codomain containing this image as a (perhaps trivial) subset will satisfy the condition.

How to find the range of a function

In mathematics, and more specifically in informal set theory, the range of a function refers to either the codomain or the image of the function, depending on usage. Modern usage almost always uses range to refer to the image.

Older books, when they use the word range, tend to use it to refer to what is now called the codomain.[1][2] More modern books, if they use the word range, generally use it to refer to what is now called the image.[3] To avoid confusion, several modern books do not use the word range at all.[4] When range is used to mean codomain, it refers to the codomain of the function.

When range is used to mean codomain, the image of a function f is already implicitly defined. It is (by definition of image) the (perhaps trivial) subset of the range that is equal to {y | there exists an x in the domain of f such that y = f (x)}.

When range is used to mean image, the range of a function f is by definition {y | there exists an x in the domain of f such that y = f (x)}. In this case, the codomain of f need not be specified, because any codomain containing this image as a (perhaps trivial) subset will satisfy the condition.

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