Math Problem Statement
Find f(2) for the function f(x) = {5 for x ≠ 1, 1 for x = 1}
Solution
The function given in the image is defined as:
5 & \text{for} \, x \neq 1 \\ 1 & \text{for} \, x = 1 \end{cases}$$ We are asked to find $$f(2)$$. Since $$2 \neq 1$$, we use the case for $$x \neq 1$$, which is $$f(x) = 5$$. Thus, $$f(2) = 5$$. Would you like a deeper explanation or have further questions? Here are 5 related questions to expand on this concept: 1. What is $$f(1)$$ based on the function definition? 2. How would $$f(x)$$ behave for $$x = 0$$? 3. What is the domain of the function $$f(x)$$? 4. How does the concept of piecewise functions apply in real-world situations? 5. Can you define a similar piecewise function with more cases? **Tip:** When dealing with piecewise functions, always check which condition the given $$x$$-value satisfies to select the correct rule for computation.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Piecewise Functions
Formulas
f(x) = 5 for x ≠ 1
f(x) = 1 for x = 1
Theorems
Piecewise function rules
Suitable Grade Level
Grades 7-9