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Determine whether the equation y=3sqrt [7](x) defines y as a function of x. Does the equation y=3sqrt [7](x) define y as a function of x? A. No, because for any input x, the equation yields more than one output y. B. Yes, because any equation in terms of x and y is a function. C. No, because for any input x, the equation yields only one output y. D. Yes, because for any input x, the equation yields only one output y.

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Giải pháp

4.7 (314 Votes)
Eunice Albert Elite · Tutor for 8 years

Answer

D. Yes, because for any input x, the equation yields only one output y.

Explanation

1. Define a Function A function assigns exactly one output to each input.2. Analyze the Equation For , each input gives exactly one output . The seventh root is defined for all real numbers and provides a unique result.3. Determine if it is a Function Since each results in only one , the equation defines as a function of .