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? 2 tables. A 2-column table with 5 rows titled Linear Function A. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries 3, 7, 11, 15, 19. A 2-column table titled Linear Function B. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries 4, 8, 12, 16, 20. The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
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The initial values of the two functions are different but the rate of change is same.
For function A ,
When x=1, the initial value of function A=3
The rate of change of function A = 4/2 = 2
For function B,
When x=1, the initial value of function B= 4
The rate of change of function A = 4/2 = 2
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.
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