Question

Which statement is true about the function f(x) = negative StartRoot x EndRoot?

It has the same domain and range as the function f(x) = StartRoot x EndRoot.
It has the same range but not the same domain as the function f(x) = StartRoot x EndRoot.
It has the same domain and range as the function f(x) = negative StartRoot negative x EndRoot.
It has the same range but not the same domain as the function f(x) = negative StartRoot negative x EndRoot.

Answer 1

Answer: It has the same range but not the same domain as f(x) = −√(−x).

Reason: f(x)=−√x has domain x ≥ 0 and range y ≤ 0. The function −√(−x) has domain x ≤ 0 but also range y ≤ 0. So the ranges match but the domains do not.