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.
Accepted Solution
A:
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