Did you know that rational functions like have fascinating behaviors around their numinator and denominator? As you analyze this function, you’ll notice it approaches zero as increases massively, but it also has a vertical asymptote at . This means the function will spike dramatically on either side of zero!

When grappling with functions like this, one common mistake is neglecting to factor or simplify the expression properly. Always be sure to check for common factors and consider the domain restrictions. Nothing dampens the fun of solving math problems like forgetting that division by zero is a big no-no!