Math Problem Statement
Find the following values of the function:
f(x) = {x - 7 for x ≤ 3, 3 - x for x > 3}
Solution
The given function is a piecewise function:
x - 7 & \text{if } x \leq 3 \\ 3 - x & \text{if } x > 3 \end{cases}$$ This means: 1. For values of $$x \leq 3$$, use $$f(x) = x - 7$$. 2. For values of $$x > 3$$, use $$f(x) = 3 - x$$. If you need to calculate specific values of the function, please provide the values of $$x$$, and I'll apply the function to determine $$f(x)$$. Would you like to test with certain values or need further clarifications? Here are some related questions: 1. What is $$f(2)$$? 2. What is $$f(3)$$? 3. What is $$f(4)$$? 4. How does the function behave as $$x \to 3^-$$? 5. How does the function behave as $$x \to 3^+$$? **Tip**: For piecewise functions, always check which part of the function applies for the given $$x$$.Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Piecewise Functions
Algebra
Formulas
f(x) = x - 7 for x ≤ 3
f(x) = 3 - x for x > 3
Theorems
Piecewise Function Definition
Suitable Grade Level
Grades 8-10