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B. Quadratic

C. Reciprocal Squared

D. Cubic

E. Square Root

F. Cube Root

G. Reciprocal

H. Linear

1. (y = {1}{x})

2. (y = x^2)

3. (y = {1}{x^2})

4. (y = x^3)

5. (y = √{x})

6. (y = √[3]{x})

7. (y = {1}{|x|})

8. (y = x)

Final answer:Each function is matched with its corresponding equation, identifying characteristics such as whether the function is quadratic, linear, reciprocal, or involves roots such as square root or cube root.Explanation:Matching Functions with Their EquationsTo match each function name with its corresponding equation, we need to identify the characteristics of each function type. Here is the correct match:A. Absolute Value - 7. (y = \(\frac{1}{|x|}\))B. Quadratic - 2. (y = x^2)C. Reciprocal Squared - 3. (y = \(\frac{1}{x^2}\))D. Cubic - 4. (y = x^3)E. Square Root - 5. (y = \(\sqrt{x}\))F. Cube Root - 6. (y = \(\sqrt[3]{x}\))G. Reciprocal - 1. (y = \(\frac{1}{x}\))H. Linear - 8. (y = x)A quadratic function, such as y = x^2, is a second-order polynomial. Similarly, a linear equation like y = x represents a first-order polynomial with a constant rate of change.For other functions, such as the reciprocal, square root, and cube root, the functional relationship is different and follows specific rules for that type of function....

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