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Questions and Answers
Define a function in your own words and explain its purpose.
A function is a mathematical relationship between two sets of numbers, where each input from the first set (called the domain) corresponds to exactly one output from the second set (called the range). The purpose of a function is to assign a unique value in the range to each value in the domain.
What does the notation f(x) represent in the context of a function?
In the context of a function, the notation f(x) represents the output value of the function f corresponding to the input value x. It is the value obtained by substituting x into the function and evaluating the expression.
How is the graph of a function related to its equation?
The graph of a function is a visual representation of the equation y = f(x), where y represents the output value of the function and x represents the input value. The graph shows how the output values vary with changes in the input values, allowing us to understand the behavior and characteristics of the function.
