Documentation

LinearFunctionQ

LinearFunctionQ[func]⟹out

determines if the provided func is a linear function in the form of (a#+b)&, where a is the non-zero slope of the line, b is the y-intercept, and the # is the independent variable.

Details

This function does not always evaluate. It must be given a Function as input in order to evaluate.
When provided with a 'func' that has more than one variable, the function will only check linearity with respect to the first variable.

Input

Output

General Options

Attributes

Listable

Examples

Basic Examples (2)

Test whether one function is a linear function:

A non-linear function will not pass LinearFunctionQ:

Additional Examples (3)

A function with zero slope will not pass LinearFunctionQ:

The function is only checking linearity with respect to the first variable:

The function is only checking linearity with respect to the first variable:

Options (1)

Log (1)

Use the Log Option to allow logarithmic functions to pass LinearFunctionQ:

Attributes (1)

Listable (1)

Test whether several functions is are linear functions: