Question

Hey, I would LOVE for someone to answer this.

The function f(x) = sqrt -x, is shown on the graph.


On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).


Which statement is correct?


A - The domain of the function is all real numbers greater than or equal to 0.

B - The range of the function is all real numbers greater than or equal to −1.

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

D - The domain of the function is all real numbers less than or equal to 0.

Answer 1

Answer:

The correct answer is option (A).

Answer 2

Answer:

The correct option is D) The domain of the function is all real numbers less than or equal to 0.

Step-by-step explanation:

Consider the provided function.

$f(x) = \sqrt{-x}$

The graph of the provided function is shown below:

The domain is the set of input values which a function can take, or the domain is the set of all possible x values.

Range: Range is the set of output value produce by the function, or the range is the set of all possible y values.

Now observe the graph:

From the graph we can observe that the function is defined or function can take only negative values of x. Also the function is defined for 0.

Therefore, the domain of the function should be all real numbers less than or equal to 0.

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

Hence, the correct option is D) The domain of the function is all real numbers less than or equal to 0.