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Built-in Mathematica Symbol

Rescale

Rescale[x, {min, max}]
gives x rescaled to run from 0 to 1 over the range min to max.

Rescale[x, {min, max}, {x_min, x_max}]
gives x rescaled to run from x_min to x_max over the range min to max.

Rescale[list]
rescales each element of list to run from 0 to 1 over the range Min[list] to Max[list].

For exact numeric quantities, Rescale internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.

Rescale to run from 0 to 1 over the range -10 to 10:

Rescale

to run from

when its values run from

Rescale so that all the list elements run from 0 to 1:

Rescale to run from 0 to 1 over the range -10 to 10:

Rescale

to run from

when its values run from

Rescale so that all the list elements run from 0 to 1:

Rescale a list of values:

Rescale with exact or symbolic quantities:

Rescale in the complex plane:

Make a Celsius-to-Fahrenheit conversion table:

In the complex plane, Rescale just scales and rotates a region:

Reversing both range specifications gives back the same result:

Rescale is effectively linear with respect to its first argument: