Answer:
Explanation:
Given function is,
f(x) = 5x - 3
Where f(x) represents the output values and 'x' is the variable representing the input values.
For x = -2,
f(-2) = 5(-2) - 3
= -13
For x = -1,
f(-1) = 5(-1) - 3
= -8
For x = 0,
f(0) = 5(0) - 3
= -3
For x = 1,
f(1) = 5(1) - 3
= 2
For x = 2,
f(2) = 5(2) - 3
= 7
For x = 3,
f(3) = 5(3) - 3
= 12
Table for the input-output values will be,
x -2 -1 0 1 2 3
f(x) -13 -8 -3 2 7 12
Since the values of f(x) has a common difference of [-13 - (-8) = -5] negative five, given function will be a linear function.