Linear function a and linear function b both have the same input values as shown below. why will the output values for linear function a always be different than the corresponding output values for linear function b?

The initial values of the two functions are different but the rate of change is same.

Step-by-step explanation:

For function  A ,  

When x=1, the initial value of function A=3

The rate of change of function A =

For function B,  

When x=1, the initial value of function B= 4

The rate of change of function A =

Since, 3≠4, thus, the initial values of two function is different.

But the rate of change is same.

Thus, Function A has odd output values, because it has an odd number as initial value and 2 as constant rate of change.

Function B has even output values, because it has an even number as initial value and 2 as constant rate of change.

560

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