Precalculus With Limits: A Graphing Approach May 2026

Always check for "illegal" math (denominators of zero or negatives in square roots).

Follow the line from both sides; if they meet at the same height, the limit exists. Algebraic View: Try direct substitution first; if you get , factor or rationalize. Precalculus with Limits: A Graphing Approach

Use the Leading Coefficient Test to see where the graph goes as Always check for "illegal" math (denominators of zero

Find x-intercepts and determine "multiplicity" (does the graph cross or bounce?). Asymptotes: Vertical: Where the denominator equals zero. if you get