Answer:
Step-by-step explanation:
The input is x on the first row
The output is f(x) on the second row
a) to determine the difference of outputs of any two inputs that are 1 unit apart, let us take x = -4 and x = -5
The outputs at these inputs are -3 and - 11 respectively
Difference in output = - 3 - - 11 = 8
b) to determine the difference of outputs of any two inputs that are 2 units apart, let us take x = -3 and x = -5
The outputs at these inputs are 5 and - 11 respectively
Difference in output = 5 - - 11 = 16
c)to determine the difference of outputs of any two inputs that are 3 units apart, let us take x = -2 and x = -5
The outputs at these inputs are 13 and - 11 respectively
Difference in output = 13 - - 11 = 24
d) as the difference in interval of the input increased by 1, the difference in outputs of the corresponding inputs increased by 8. A constant increment in the interval between inputs led to a constant increment in the intervals of the corresponding outputs
