ID: Class: 12Subject: MathTopic: Application of DerivativeType: Short
Question:
Find the maximum and minimum values of the function
\(
h(x) = x + 4, \quad x \in (-1, 1)
\)
Official Solution
Explanation:
This is a linear function defined on an open interval. \[\]As \(x \to -1\), \(h(x) \to 3\), and as \(x \to 1\), \(h(x) \to 5\). \[\]
However, neither 3 nor 5 is attained in the open interval \((-1, 1)\).
\[
\text{Therefore, } h(x) \text{ has neither a maximum nor a minimum value in } (-1, 1).
\]
AI Teacher
Disclaimer: AI-generated content may contain errors. Please verify with standard textbooks.