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Function Calculator (Table of Values)

Tool for calculating the different values of a function from its equation f(x) and given values in order to compute their images by the function calculator and make a table of values.

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Function Calculator (Table of Values) -

Tag(s) : Functions

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Function Calculator (Table of Values)

Function Calculator




Calculate f for


Calculate f for a range of values

Limited to 50 values max




Table of Values Generator


Limited to 50 values max

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Find Equation from Values

Answers to Questions (FAQ)

What is a table of values? (Definition)

A table of values describing a function is made up of two columns. The first column contains the values of a variable (usually denoted $ x $), and the second column contains the values matched by the function (usually denoted $ f(x) $). Thus, it relates a number to the value obtained by the function, which allows you to have an idea of the behavior of the function.

Example: The square function $ f(x) = x^2 $ has for table of values

xf(x)
11
24
39
416

How to calculate the values of a function?

The value (or image) of a function $ f(x) $ is the value of the function $ f $ for an indicated value of $ x $.

Example: $ f(x) = 3x $ then for $ x = 2 $ the value of $ f(2) = 6 $

The calculation of the values can be done on the entire domain of definition of the function. Any calculation of a value outside the definition domain will result in an error.

The totality of the values can be represented in a form of curve which is the graphical representation of the function.

How to calculate the preimage of a value?

dCode has a tool to calculate the preimage by a function, ie the values of $ x $ for which the function has a given value.

How to apply a function over a whole table of value?

It is common to want to apply a function to a variety/sequence/list of values, such as an Excel column. Specifying the mathematical function to apply and dCode will calculate all the values automatically.

How to choose the values to calculate?

The choice of values to calculate in a table of values depends on several factors:

— the objective: Choosing specific values can highlight a particular behavior of the function under certain conditions

— existence of critical values: Identify special values such as the zeros of the function, the inflection points, the maxima, the minima, or the asymptotes.

— scope of the study: Determine the relevant range of values for the application of the function (domain of definition).

— spacing of values: Uniform spacing can be useful for regular analysis, but it may be necessary to bring values closer together in regions of rapid variation of the function.

— constraints: Take into account any constraints imposed such as prohibited or irrelevant values to be excluded from the table of values.

How to use a table of values to perform interpolations?

Interpolation involves estimating values between known data. From a table of values, there are interpolation methods (such as Lagrange interpolation) which can predict other neighboring values from the table or find the formula of the function.

Source code

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Function Calculator (Table of Values) on dCode.fr [online website], retrieved on 2024-07-18, https://www.dcode.fr/function-value-calculator

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