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Consider the table that includes the input and output values of a function.



Which best describes the constant difference for the function?

a constant second difference of –6
a constant second difference of 8
a constant third difference of –6
a constant third difference of 8

Consider The Table That Includes The Input And Output Values Of A Function Which Best Describes The Constant Difference For The Function A Constant Second Diffe class=

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The first option is correct and it best describes the constant difference for the function as a constant second difference of –6.

What is a function?

A function f(x) is the relation between a set of inputs resulting and producing the desired output value of y for each input.

From the given information:

x          f(x)           first difference        second difference   third difference

-2         0                    -                              -                              -

-1         -10            (-10-0)/-1--2 = -10           -                             -

0         -12            (-12 - 10)/0 -- 1= -2     (-2-10)/2 = -6              -

1          -12            (-12--12)/1-0 = 0         (0-2)/2 =  -1              (-1+6)/2 = 5/2

2         -16             (-16--12)/2-1 = -2       (-2-0)/2 = -1              (-1+1)/2 = 0

Therefore, we can conclude that the constant difference for the function is a constant second difference of –6.  

Learn more about the function here:

https://brainly.com/question/19471488

#SPJ1

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