Answered

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Explain how you know that the function represented by the data in the given table is quadratic.XV0-17123-13-313

Explain How You Know That The Function Represented By The Data In The Given Table Is QuadraticXV01712313313 class=

Sagot :

Given:

Here a table of equation is given

Required:

How to know that the function represented by the data in the given table is quadratic.

Explanation:

here the first differences of y values are as below

[tex]\begin{gathered} -13-(-17)=-13+17=4 \\ -3-(-13)=-3+13=10 \\ 13-(-3)=13+3=16 \\ 35-13=22 \\ 63-35=28 \end{gathered}[/tex]

now again take difference of the first difference which is called as second difference.

[tex]\begin{gathered} 10-4=6 \\ 16-10=6 \\ 22-16=6 \\ 28-22=6 \end{gathered}[/tex]

so here we can see that the second difference is same which is 6

now if second difference of any table is equal we can say that the given table is the table of quadratic equation.

Final answer:

The second differences are all 6

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