h(×)=||×||+2, find the value of the function if × =24

To find the value of the function \( h(x) = \|x\| + 2 \) when \( x = 24 \), we can substitute \( x = 24 \) into the function.

First, let's clarify that \( \|x\| \) represents the absolute value of \( x \), which is denoted by \( |x| \).

Given:
\[
h(x) = |x| + 2
\]

Substitute \( x = 24 \):
\[
h(24) = |24| + 2
\]

Since the absolute value of 24 is 24:
\[
h(24) = 24 + 2 = 26
\]

So, the value of the function \( h(24) \) is **26**.

Would you like more details or have any further questions?

Here are some related questions you might find useful:
1. What is the general form of a function involving absolute values?
2. How do you compute the absolute value of negative numbers?
3. What changes in the function if \( x \) is negative?
4. Can absolute values be negative?
5. How do you find the value of a function for different inputs?
6. What is the effect of adding a constant to a function?
7. How do you graph the function \( h(x) = |x| + 2 \)?
8. What is the domain and range of the function \( h(x) = |x| + 2 \)?

**Tip:** The absolute value of a number is always non-negative, regardless of whether the original number is positive or negative.

Learn how to evaluate the function h(x) = |x| + 2 when x = 24 with a step-by-step solution. Understand the concept of absolute value and function evaluation in this high school-level problem.

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