Problem

Use the displayed representations. Decide whether they describe the same function; if not, identify the mismatch and the function it represents.

Authentic equation, table, and graph or verbal representations without equivalence cues.

Answer choices

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No, they are not the same because a table only lists a few points, so it cannot represent the same function as an equation and verbal rule.

Yes, all three represent the same function because y = 3x + 1 gives 1, 4, and 7 for x = 0, 1, and 2, and “starts at 1 and adds 3 each step” means the same rule.

No, they are not the same because the table follows y = x + 4, so its pattern does not match y = 3x + 1 or the verbal description.

No, they are not the same because “adds 3 each step” means the function starts at 3, while the equation and table start at 1.

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Use the displayed representations. Decide whether they describe the same function; if not, identify the mismatch and the function it represents.

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