Equations of Diagonal Asymptotes
Problems that You Should Practice
1. Divide each term in the numerator individually by the monomial in the denominator.
2. This step is an analytical step. You do not actually calculate anything. Instead, you explain what would happen to the function when x approaches infinity.
3. State the equation of the diagonal asymptote which is of the form y=mx+b.
Directions: Please calculate the diagonal asymptote for the following function.

Step 1

Step 2

This is read,
"As x approaches infinity, nine over x approaches zero.
Therefore, f(x)aproaches 4x+6."
Step 3
The given function has a diagonal asymptote whose equation is y=4x+6
Problems that You Should Practice
Directions: Please calculate the diagonal asymptote for the following function.
