Advanced MathEasy–MediumLeast value in the domain of a square-root function
Advanced Math practice question
The function h is defined by h(x) = √(x − 2). What is the least value of x in the domain of h?
Answer: 2
The expression under the square root must be at least 0: x − 2 ≥ 0, so x ≥ 2. The least value is 2.
Common wrong answers
- If you answered 0
- 0 makes x − 2 = −2, which has no real square root.
- If you answered 3
- 3 is in the domain, but 2 is smaller and also in it.
- If you answered -2
- −2 has the wrong sign: x − 2 ≥ 0 gives x ≥ 2.
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