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Sagot :
To determine the equation that best models the given data, we can analyze the points provided in the table:
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline -6 & -216 \\ \hline -5 & -150 \\ \hline -4 & -96 \\ \hline -3 & -54 \\ \hline -2 & -24 \\ \hline \end{array} \][/tex]
We need to decide whether a linear, quadratic, or exponential function best fits the provided values. Let us focus on finding a quadratic function of the form [tex]\(y = ax^2 + bx + c\)[/tex].
From thorough analysis, we determine the quadratic best fitting function for the data. The quadratic equation found is of the form [tex]\(y = ax^2 + bx + c\)[/tex] where:
- [tex]\(a = -6\)[/tex]
- [tex]\(b = 0\)[/tex]
- [tex]\(c = 0\)[/tex]
Substituting these values into the quadratic equation, we have:
[tex]\[ y = -6x^2 \][/tex]
Therefore, the model that best fits the given data is:
[tex]\[ y = -6x^2 \][/tex]
[tex]\[ \begin{array}{|c|c|} \hline x & y \\ \hline -6 & -216 \\ \hline -5 & -150 \\ \hline -4 & -96 \\ \hline -3 & -54 \\ \hline -2 & -24 \\ \hline \end{array} \][/tex]
We need to decide whether a linear, quadratic, or exponential function best fits the provided values. Let us focus on finding a quadratic function of the form [tex]\(y = ax^2 + bx + c\)[/tex].
From thorough analysis, we determine the quadratic best fitting function for the data. The quadratic equation found is of the form [tex]\(y = ax^2 + bx + c\)[/tex] where:
- [tex]\(a = -6\)[/tex]
- [tex]\(b = 0\)[/tex]
- [tex]\(c = 0\)[/tex]
Substituting these values into the quadratic equation, we have:
[tex]\[ y = -6x^2 \][/tex]
Therefore, the model that best fits the given data is:
[tex]\[ y = -6x^2 \][/tex]
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