Evaluating a Function In Exercises 21-32 , evaluate (if...

Evaluating a Function In Exercises $21-32$ , evaluate
(if possible) the function at each specified value of the
independent variable and simplify.
$$
\begin{array}{l}{f(x)=|x|+4} \\ {\text { (a) } f(2) \quad \text { (b) } f(-2) \quad \text { (c) } f\left(x^{2}\right)}\end{array}
$$

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Key Concepts

Function Evaluation

This concept involves substituting a specific value or expression for the independent variable in a function's rule to determine the corresponding output. It requires careful replacement of every instance of the variable and is foundational in understanding how functions operate.

Absolute Value

The absolute value function returns the nonnegative value of any number by measuring its distance from zero on the number line. It is important when evaluating functions since it transforms negative inputs into their positive counterparts, which affects the overall output of the function.

Algebraic Simplification

After substituting input values into a function, algebraic simplification is used to combine like terms, remove unnecessary symbols, and express the result in its simplest form. This practice ensures clarity and correctness in the final answer.

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