Question

The function f(x) = is represented by the graph. Which statement is correct? The domain of the function is all real numbers greater than 0. The range of the function is all real numbers less than or equal to 0. The domain of the function is all values less than 0. The range of the function is all real numbers greater than or equal to 0.

Answer 1

The correct answer is:

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

Explanation:

While the domain is restricted, strictly less than 0 is not correct. There is a point at x=0; this means the domain restriction should read "less than or equal to 0." Since that is not the case, the domain restrictions listed are not correct.

The graph shows a curve from 0 upward in the second quadrant. The range is the set of y-values; since they go from 0 up, this means "greater than or equal to 0" would be our range.

Answer 2

The domain will be less than equal to 0 and the range will be any real number.

Graph

It shows the relation between x and y.

Given

The graph is given.

How do get the correct statement?

We know that it's the equation of the parabola $x= -4ay^{2}$.

Then for any real value of y, x will always be less than equal to 0.

Thus, the domain will be less than equal to 0 and the range will be any real number.

More about the graph link is given below.

https://brainly.com/question/14375099