Subjects algebra

Function Range 9129E7

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1. The problem asks for the range of the function $f$, which means we need to find all possible $y$-values (outputs) that $f(x)$ can take. 2. From the graph description, the function $f$ starts at $(-6, -2)$, dips down to about $(-4, -5)$, rises to a peak near $(-2, 2)$, goes down near $(1, 0)$, dips again near $(2, -2)$, and finally rises sharply to end at $(5, 5)$. 3. The lowest point on the graph is approximately $-6$ (since the curve dips near $-6$ on the $y$-axis), and the highest point is $5$ at $(5, 5)$. 4. Therefore, the range includes all $y$-values from $-6$ up to $5$, inclusive. 5. Among the answer choices, option D states the range as $-6 \leq f(x) \leq 5$, which matches our conclusion. Final answer: **D -6 \leq f(x) \leq 5**