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Example: Determining if the Equation Defines a Function
Consider the equation where is the independent variable. Because the equation is already explicitly solved for , it is evident that for any value substituted for , multiplying it by and subtracting outputs exactly one corresponding value for . Since each value of yields exactly one unique value of , the equation defines a function.
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Intermediate Algebra @ OpenStax
Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
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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