Answer:
Yes, there exists one output for every input.
Step-by-step explanation:
A function is called one-to-one if every output(y)comes from one kind of input(x) . There are no two input that give same output.
To know if a function is one-to-one you can do vertical line test. Draw vertical lines on several points and see if there are 2 point intersect with the lines. From the graph, you can see that it pass horizontal lines test.
On other hands, if every input give only 1 kind of output is the graph will be called as a function. This can be tested using vertical line test. This graph is also a function.