×

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 $y=\frac{8}{x}-4?$

×