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Example: Determining if the Equation Defines a Function
Consider the equation . To determine if it defines a function with as the independent variable, solve for by subtracting from both sides, yielding . For any value substituted for , multiplying by and subtracting produces exactly one corresponding value for . Because each value of corresponds to exactly one value of , the equation defines a mathematical function.
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Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
Algebra
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Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function
Example: Determining if the Equation Defines a Function