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How does the formula A = bh/2 represent a function with two independent variables?

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A graph of the function f(x) = x cubed minus 3x plus 2 is shown on a blue background, with a red curve passing through key points. Local maximum and minimum points are marked with black dots at x equals negative 1 and x equals 1, illustrating important features of the curve. — function Plot of the cubic equation f(x) = x³ − 3x + 2. The plotted points are where changes in curvature occur.

The formula $A = b h / 2$ represents a multivariable (or multivariate) function because it defines the dependent variable $A$ (area) as a relationship dependent on two independent variables: $b$ (base) and $h$ (height).1

In mathematics, a function is a rule that establishes a relationship between variables. While many basic functions involve a single independent variable, such as $y = f (x)$ , it is common to encounter functions that require multiple inputs to determine a unique output. In the case of the triangle area formula, assigning specific numerical values to both $b$ and $h$ results in a unique value for $A$ . Because the area is determined by the interaction of these two distinct inputs, it is classified as a function of two independent variables.1