28
QuizMultiple Choice

Square Root Functions — Quiz

Question 28 • College Readiness Mathematics

If the domain of the square root function f of x is x is less than or equal to 7 , which statement must be true?

Answer
A
The x -term inside the radical has a negative coefficient.
B
7 is subtracted from the x -term inside the radical.
C
The radical is multiplied by a negative number.
D
7 is added to the radical term.

Explanation

A square root is defined for real inputs when the expression inside the radical is at least 0. A domain of x ≤ 7 is consistent with a radicand such as 7 − x, which is nonnegative exactly when x ≤ 7. In that expression, the x-term has a negative coefficient, so the statement that must be true is that the x-term inside the radical has a negative coefficient.

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