To determine the range of the graphed function based on the provided information, we analyze the statements given.
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y ≥ -4: This implies that the function takes on all values greater than or equal to -4.
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-4 ≤ y ≤ 8: This statement indicates that the function's values are constrained between -4 and 8, inclusive.
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y is all real numbers: This means the function can take any value along the entire y-axis.
Given this information, the most restrictive conditions apply. Since the range specified states that \( y \) must be between -4 and 8, the range of the function can thus be defined as:
\[ [-4, 8] \]
So, the final answer for the range of the graphed function is:
\[ [-4, 8] \]