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.
Use a graphing calculator to verify your hand-drawn sketches, not replace them.
Identify Amplitude (height), Period (length of one cycle), and Phase Shift (horizontal slide). Identities: Use Pythagorean identities ( ) to simplify expressions before graphing. 5. Limits: The Bridge to Calculus
Use the Leading Coefficient Test to see where the graph goes as
If a graph looks weird, plot 3-5 specific points to anchor it.
These determine the horizontal asymptotes of the graph. 🚀 Study Tips
The "Limit" describes the behavior of a function as it approaches a specific point.
Precalculus With Limits: A Graphing Approach Page
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.
Use a graphing calculator to verify your hand-drawn sketches, not replace them. Precalculus with Limits: A Graphing Approach
Identify Amplitude (height), Period (length of one cycle), and Phase Shift (horizontal slide). Identities: Use Pythagorean identities ( ) to simplify expressions before graphing. 5. Limits: The Bridge to Calculus Follow the line from both sides; if they
Use the Leading Coefficient Test to see where the graph goes as Follow the line from both sides
If a graph looks weird, plot 3-5 specific points to anchor it.
These determine the horizontal asymptotes of the graph. 🚀 Study Tips
The "Limit" describes the behavior of a function as it approaches a specific point.