10
QuizMultiple Choice

Square Root and Absolute Value Functions — Test

Question 10 • Algebraic Reasoning

Which function has the domain x is greater than or equal to negative 11 ?

Answer
A
y is equal to square root of x minus 11 end root plus 5
B
y is equal to square root of x plus 5 end root minus 11
C
y is equal to square root of x plus 11 end root plus 5
D
y is equal to square root of x plus 5 end root plus 11

Explanation

For a square root to be real, the expression inside it must be at least 0. In choice D, the expression under the square root is x + 11, so x + 11 ≥ 0, which gives x ≥ −11. Therefore, choice D, “y is equal to square root of x plus 11 end root plus 5,” has the stated domain.

AI-written and checked against the verified answer.

Previous
Next