Answer :

The function A is a linear function.

The function B is not a linear function.

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A.

The coordinates:

(0, 1), (1, 0), (2, -1), (3, -2), (4, -1)

The rate of change of a linear function between any two points is the same.

Rate of change:

= (0 - 1) / (1 - 0) = -1/1 = -1

= (-1 - 0) / (2 - 1) = -1/1 = -1

= (-2 + 1) / (3 - 2) = -1/1 = -1

The function A is a linear function.

Function B.

The linear function graph is a straight line.

Function B graph is not a straight line.

Thus,

Function A is a linear function but function B is not a linear function.

Learn more about functions here:

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Rewritten by : Barada