Here are the essential concepts you must grasp in order to answer the question correctly.
Function Subtraction
Function subtraction involves taking two functions, f(x) and g(x), and creating a new function h(x) = f(x) - g(x). This new function represents the vertical distance between the graphs of f and g at any given x-value, allowing for the analysis of their relative positions.
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Adding & Subtracting Functions
Graphing Functions
Graphing functions entails plotting points on a coordinate plane based on the function's output for various input values. Understanding how to accurately represent functions visually is crucial for interpreting their behavior and relationships, especially when combining or comparing multiple functions.
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Graphs of Logarithmic Functions
Piecewise Functions
Piecewise functions are defined by different expressions based on the input value. In the context of the given graphs, both f(x) and g(x) may consist of segments that behave differently in various intervals, making it essential to analyze each segment when performing operations like subtraction.
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