Based on the analysis of each graph, here are the domains and ranges for all nine graphs:
Graph A:
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Domain: $-6 \le x \le 4$ (The graph covers x-values from -6 to 4).
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Range: $-3 \le y \le 2$ (The graph covers y-values from -3 to 2).
Graph B:
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Domain: All real numbers ($-\infty < x < \infty$). The parabola extends infinitely left and right.
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Range: $y \ge -4$ (The lowest point is at y = -4, and the graph extends upwards infinitely).
Graph C:
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Domain: All real numbers ($-\infty < x < \infty$). The line extends infinitely in both x-directions.
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Range: All real numbers ($-\infty < y < \infty$). The line extends infinitely in both y-directions.
Graph D:
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Domain: All real numbers ($-\infty < x < \infty$). The V-shape extends infinitely left and right.
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Range: $y \le 5$ (The highest point is at y = 5, and the graph extends downwards infinitely).
Graph E:
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Domain: $x \ge -4$ (The graph starts at x = -4 and extends infinitely to the right).
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Range: $y \ge 0$ (The lowest point is at y = 0, and the graph extends upwards infinitely).
Graph F:
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Domain: All real numbers ($-\infty < x < \infty$). The line extends infinitely in both x-directions.
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Range: All real numbers ($-\infty < y < \infty$). The line extends infinitely in both y-directions.
Graph G:
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Domain: All real numbers ($-\infty < x < \infty$). The line extends infinitely in both x-directions.
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Range: All real numbers ($-\infty < y < \infty$). The line extends infinitely in both y-directions.
Graph H:
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Domain: All real numbers ($-\infty < x < \infty$). The wave extends infinitely left and right.
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Range: $-2 \le y \le 3$ (The graph oscillates between a minimum y-value of -2 and a maximum y-value of 3).
Graph I:
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Domain: All real numbers ($-\infty < x < \infty$). The parabola opens upwards and extends infinitely left and right.
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Range: $y \ge -4$ (The lowest point, or vertex, is at y = -4, and the graph extends upwards infinitely).
Parent Tip: Review the logic above to help your child master the concept of finding domain and range from a graph worksheet.
