Function Combination Overview

Function Combination Techniques

Graphical Addition of Functions

• Combine two functions graphically without algebraic representation.
• Analyze the resulting shape based on addition of given points from both graphs.

Key Points in Graphical Addition

• Identify critical points on both graphs to determine the resultant graph shape.

Graphical Multiplication of Functions

• Multiply two functions together graphically without algebraic representation.
• Examine resulting shape by focusing on specific points derived from both graphs.

Key Points in Graphical Multiplication

• Recognize essential points that impact the form of the resulting graph.

Function Definitions from Table

• Use a given table of functions to compute output values for combinations (e.g., $y = f(g(x))$).
• Apply the same input values across functions for consistent point evaluation.