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Give the range for the function if the domain is {2, 1, 0, 1, 2}.

a. {10, 0, 10}
b. {12, 7, 2, 3, 8}
c. {10, 5, 0, 5, 10}
d. {12, 0, 12}

1 Answer

2 votes

Final answer:

The question appears to contain errors, as the function described should have a range of {20}, given the horizontal line f(x) = 20 over the domain. However, none of the provided answer choices match that range. The closest option based on a possible corrected assumption is answer 'c' with the range {10, 5, 0, 5, 10}, which implies a domain-to-range mapping of multiplying by 5.

Step-by-step explanation:

The student has asked to determine the range of a function given a specific domain. Given that the domain is {2, 1, 0, 1, 2}, and knowing that the graph of the function is a horizontal line at f(x) = 20 (since the function value is the same for all x in the domain), we must find the corresponding values in the function's output. Hence, for every value of x in the domain, the output of the function is 20. This implies that the range of the function, considering all unique values, is {20}.

None of the given answer choices accurately reflect this range. However, if this was a conceptual or typographical error in the question, and we consider the function to be f(x) = 2x, then the corresponding outputs (or function values) for the domain elements would be {4, 2, 0, 2, 4}. This result, considering only the unique outcomes, simplifies to the range as {0, 2, 4}. Answer choice 'c' would be the closest to this corrected scenario with each element doubled, {10, 5, 0, 5, 10}, if the domain values were indeed intended to be multiplied by 5.

User Mekey Salaria
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