Basic Mathematics & Logarithm
Absolute Value Functions
Grade 11
Question:
<p>Column (C): Find values of \(k\) for which \(|x - 1| + |x - 2| + |x + 1| + |x + 2| = 4k\) has integer solution(s)</p>
Step-by-Step Solution
Key Concept: Use absolute value analysis to find minimum value and determine valid values of k
<p>Analyze the function $f(x) = |x - 1| + |x - 2| + |x + 1| + |x + 2|$ by considering different intervals and find when $f(x) = 4k$ has integer solutions.</p>
Correct Answer: S