https://file.aiquickdraw.com/mathbot/file/172631693522132lqhy6g.jpg

The image contains a piecewise function \( f(x) \) defined as:

\[
f(x) = 
\begin{cases} 
x - 2 & \text{if } x < 3 \\
x + 3 & \text{if } x \geq 3 
\end{cases}
\]

It is asking to find \( f(2) \), so we'll substitute \( x = 2 \) into the appropriate part of the piecewise function.

Since \( 2 < 3 \), we use the first part of the function, \( f(x) = x - 2 \):

\[
f(2) = 2 - 2 = 0
\]

Thus, \( f(2) = 0 \).

Would you like more details on how piecewise functions work, or have any other questions?

Here are 5 related questions to explore:
1. How do you evaluate a piecewise function for multiple values?
2. How can you graph this piecewise function?
3. What is the significance of the boundaries in a piecewise function?
4. Can a piecewise function be continuous at the boundary point?
5. How do piecewise functions model real-world scenarios?

**Tip:** When evaluating piecewise functions, always check which condition applies to the input value before substituting into the expression.

Evaluate the piecewise function at f(2):

f(x) = 
{ x - 2, if x < 3 
  x + 3, if x >= 3 }

Learn how to evaluate the piecewise function f(x) at x = 2. This problem involves basic algebraic principles and is suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation