Rational equations contain the independent variable in the denominator. Their graphs form hyperbolas. When entering rational equations into a graphing calculator, the denominator must be enclosed in parentheses to avoid errors, as the calculator will otherwise divide before subtracting terms in the denominator.

1. Graphing Rational
Equations
In the calculator

2. What is a rational equation?
• A rational equation has the independent variable (x) in the denominator.
• 𝑓 𝑥 =
1
𝑥
or 𝑔 𝑥 =
1
𝑥−7

3. What does the graph look like?
This graph is
called a
hyperbola.
(picture created using
desmos.com/graphingcalc
ulator)

4. What to remember!!!
• When you are typing the equations in the calculator, you must use
parenthesis in the denominator.
• For example, 𝑓 𝑥 =
1
𝑥−7
must be typed as: y=1/(x-7)
• If you don’t, you will probably get the wrong answer.