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Match each function name with its equation.
Match each function name with its equation. A. Absolute Value
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....