Respuesta :

Answer:

In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

Step-by-step explanation:

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It is false that Every relation that is linear, must also be a function.

Given that,
A statement is to be justify that, whether is true and false that Every relation that is linear, must also be a function.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

What is a linear function?

Linear functions are defined as functions whose graph is a straight line. A linear function has the following form. example f(x) = 1 + 2x. A linear function has only independent variable and only a dependent variable.

Let's understand with an example,
If y = 1 *[tex]x^0[/tex] , is a linear function but it's a verticle straight line. for every value of x, y is independent of x so for the function it is necessary that the function should be consist of an independent variable and a dependent variable,
Implies every function that is linear must not also a function.

Thus, It is false that Every relation that is linear must also be a function.

Learn more about function here:

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