7
practice testMultiple Choice

Practice Test

Question 7 • Algebra 2 with Probability

Which statement is true about the function f of x is equal to square root of negative x ?

Answer
A
It has the same range as the function f of x is equal to negative square root of negative x .
B
It has the same domain as the function f of x is equal to negative square root of negative x .
C
It has the same range as the function f of x is equal to negative square root of x .
D
It has the same domain as the function f of x is equal to negative square root of x .

Explanation

For f(x) = √(-x), the expression inside the square root must be nonnegative, so -x ≥ 0 and x ≤ 0. Its domain is therefore all numbers less than or equal to 0. The function -√(-x) has the same requirement, so it has the same domain; its range differs because its outputs are nonpositive.

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