Question

the square root function
quiz complete
1 2 3 4 5 6 7 8
52:48
the function f(x) = -√x is shown on the graph.
which statement is correct?
the domain of the function is all real numbers less than or equal to -1.
the range of the function is all real numbers greater than or equal to 0.
the range of the function is all real numbers less than or equal to 0.
the domain of the function is all real numbers less than or equal to 0.
mark this and return
save and exit next submit

Explanation:

1. Analyze the domain of \( f(x) = -\sqrt{x} \): The square root function \( \sqrt{x} \) is defined when \( x \geq 0 \), so the domain of \( f(x) \) is all real numbers greater than or equal to 0. This eliminates options about domain being ≤ -1 or ≤ 0.
2. Analyze the range: \( \sqrt{x} \geq 0 \), so \( -\sqrt{x} \leq 0 \). Thus, the range of \( f(x) \) is all real numbers less than or equal to 0. This matches one of the options.

Answer:

The range of the function is all real numbers less than or equal to 0.