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How to Tell When a Mathematical Rule Is Proportional

A mathematical rule, more commonly referred to as a function, represents an equation. Many equations are said to be either proportional or inversely proportional. Proportional equations increase as the value of the independent variable increases and inversely proportional functions decrease as the dependent variable increases. A common example of an inverse function is that of gravity -- the greater the distance from a source of gravity the weaker the force of gravity becomes.

Instructions

    • 1

      Determine the domain of the function. This helps to exclude values that are of no consequence to the proportionality of the mathematical rule in question. For example, to investigate the square root function, you would set the investigative domain to all positive real numbers, due to negative numbers not having square roots in standard mathematics.

    • 2

      Solve for the zeros of the equation. This process involves factoring the equation and setting all factors equal to zero.

    • 3

      Graph the function, by hand or with the aid of a graphing calculator, between the lowest value and highest value zero point on the number line. A proportional graph has ever-increasing values between these two points.

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