After zooming in on Graph D, I can clearly see the vertex of this downward-opening parabola. The vertex is located at the point (-5, -6). This means the highest y-value the function can achieve is -6.
Since the parabola opens downwards, the range of the function represented by Graph D is all real numbers less than or equal to -6, which is written as $(-\infty, -6]$.
This does not match the required range of $[-6, \infty)$.
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Based on my analysis of all four graphs:
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Graph A: Range = $[-1, \infty)$
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Graph B: Range = $(-\infty, -5]$
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Graph C: Range = $[-7, \infty)$
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Graph D: Range = $(-\infty, -6]$
None of the provided graphs have a range of all real numbers greater than or equal to -6, which is $[-6, \infty)$. The closest is Graph C, which has a range of $[-7, \infty)$, but its minimum value is -7, not -6.
Therefore, there is no correct answer among the given options. It appears there may be an error in the question or the provided graphs.
Parent Tip: Review the logic above to help your child master the concept of domain and range graph worksheet.
