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.
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