Find the domain and range of the relation and determine whether it is a function.
a. domain: all real numbers; range: all real numbers; yes, it is a function.
b. domain: positive integers; range: positive integers; no, it is not a function.
c. domain: x ≥ 0; range: y > 3; no, it is not a function.
d. domain: x > 3; range: y > 0; yes, it is a function.

Hello there!

Let's look at the graph. If we do the vertical line test, we can figure out that YES, it is a function, so option b and c are already out of the picture.

Now, to find the domain, look at the graph and shade it back to the x-axis. The domain includes every number greater than 3, so the domain is x>3.

To find the range, take a look at the graph and shade it back to the y-axis. The range includes every real number greater than 0, so the range is y>0

This means that d is the answer.

I really hope this helps!
Best wishes :)

Is there more to the question?