Inverse Variation

An inverse variation is a relationship in which one variable quantity increases as another variable quantity decreases. The product of the variables is constant

To determine if a relationship is an inverse variation, check if the product of corresponding x - y pairs is always the same number

To plot a function, substitute values of x to find the ordered pairs. Plot each point and join

The graph can be used to find the value of f(x) for any value of x

In the inverse variation relationship y = k/x, where k ≠ 0, y is a function of x. The function is not defined for x = 0, so the domain is all real numbers except 0

An inverse variation is a relationship in which one variable quantity increases as another variable quantity decreases. The product of the variables is constant

In an inverse relationship, the product of corresponding x – y values is a constant, k

Given a pair of corresponding values, find k; k = xy

If we know the value of the constant k, we can find y for any given x or vice versa