For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Function Evaluation
Function evaluation involves substituting a specific input value into a function to determine its output. For example, if ƒ(x) = 2x + 3, then to find ƒ(2), you replace x with 2, resulting in ƒ(2) = 2(2) + 3 = 7. This process is fundamental in understanding how functions behave at particular points.
The domain of a function refers to the set of all possible input values (x-values) for which the function is defined. Understanding the domain is crucial when evaluating functions, as certain inputs may lead to undefined outputs, such as division by zero or taking the square root of a negative number.
Referring to an example, such as Example 7 in this context, provides a model for solving similar problems. Examples typically illustrate the steps taken to evaluate functions or apply specific concepts, helping students grasp the methodology and apply it to their own evaluations effectively.