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Rational Functions

A rational function can have a variable like "x" in the numerator AND the denominator. When this happens, there are some special rules and properties to consider.

Intercepts

What is the \(x\)-intercept in the graph of \[y=\frac{36}{x}-4?\]

Let \(a\) and \(b\) be the \(x\)-intercept and \(y\)-intercept, respectively, in the graph of \[y=\frac{2x+32}{x-4}.\] What is the value of \(ab\)?

What is the \(y\)-intercept in the graph of \[y=\frac{5x+40}{x+5}?\]

What is the \(y\)-intercept in the graph of \[y=\frac{20}{x+4}+9?\]

What is the \(x\)-intercept in the graph of \[y=\frac{8}{x}-4?\]

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