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?

Question

contestada

Respuesta :

cheesethereal cheesethereal · Answer 1 · 2017-10-24T01:46:05+02:00

I would say:
The initial values of the two functions are different, and the rates of change of the two functions are the same.

(AKA B)

Answer Link

JeanaShupp JeanaShupp · Answer 2 · 2019-03-14T10:53:39+01:00

Answer: 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 =[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{7-3}{3-1}=\frac{4}{2}=2[/tex]

For function B,

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

The rate of change of function A =[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-4}{3-1}=\frac{4}{2}=2[/tex]

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.