Question:
The minimum of $f(x)=|x+2|$, $x\in\mathbb{R}$ occurs at ________.
The minimum of $f(x)=|x+2|$, $x\in\mathbb{R}$ occurs at ________.
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The vertex of $|x-h|$ is always at $x=h$.
Updated On: Jun 26, 2026
- $x=0$
- $x=2$
- $x=1$
- $x=-2$
- $x=-1$
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The Correct Option is D
Solution and Explanation
Step 1: Concept
An absolute value function $|g(x)|$ reaches its minimum value (which is 0) when $g(x)=0$.
Step 2: Meaning
Set $x+2 = 0$.
Step 3: Analysis
Solving for $x$ gives $x = -2$. At this point, $f(-2) = 0$.
Step 4: Conclusion
The minimum occurs at $x = -2$. Final Answer: (D)
An absolute value function $|g(x)|$ reaches its minimum value (which is 0) when $g(x)=0$.
Step 2: Meaning
Set $x+2 = 0$.
Step 3: Analysis
Solving for $x$ gives $x = -2$. At this point, $f(-2) = 0$.
Step 4: Conclusion
The minimum occurs at $x = -2$. Final Answer: (D)
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