Here are the essential concepts you must grasp in order to answer the question correctly.
Functions
A function is a relation that assigns exactly one output (y) for each input (x). In this context, the equation defines y as a function of x, meaning for every value of x, there is a corresponding value of y. Understanding functions is crucial for evaluating specific inputs, such as finding ƒ(3).
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Solving Equations
Solving equations involves manipulating the equation to isolate the variable of interest. In this case, we need to rearrange the equation x - 4y = 8 to express y in terms of x. This process is essential for determining the function and subsequently finding the value of ƒ(3).
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Substitution
Substitution is the process of replacing a variable in an expression or equation with a specific value. Once the function is defined, substituting x = 3 into the function allows us to calculate the corresponding value of y, which is the desired output for ƒ(3). This step is critical for evaluating the function at a given point.
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