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The function is a quadratic. f(x)= 1/ x
a True
b False

1 Answer

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Final answer:

The function f(x) = 1/x is not a quadratic function, as it does not have the form ax² + bx + c, where a is non-zero. It is a rational function and cannot be solved using the quadratic formula.

Step-by-step explanation:

The function f(x) = 1/x is not a quadratic function. A standard quadratic function is represented by the form ax² + bx + c, where a, b, and c are constants, and a is not equal to zero. The function you have provided, 1/x, is actually a rational function, not a quadratic. To evaluate if a function is quadratic, it should have a variable raised to the second power (x²), which is not present in this function.

To solve a quadratic equation of the form ax² + bx + c = 0, you can use the quadratic formula, which allows you to find the solutions or roots of the equation. The formula for this is x = (-b ± √(b² - 4ac)) / (2a). However, this formula cannot be applied to f(x) = 1/x because it does not fit the quadratic structure.

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