Pregunta
Find the range of the function:
Ask by Colon Reese. in Hong Kong
Mar 28,2025
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The range of the function
is
.
Solución

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The function
is a classic example from algebra, representing a parabola that opens upwards. Since squaring any real number (positive or negative) always results in a non-negative value, the output of this function is always
or greater. Therefore, the range of the function is all non-negative real numbers, expressed as
.
For a real-world application, think of this function in terms of physics: if you were measuring the height of a ball tossed in the air, its height at any point in time can be modeled by a similar quadratic equation. Here, the height (analogous to
) is always non-negative, illustrating the same range constraint — an invaluable concept when ensuring safety regulations in various activities!

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