Answer: Yes
Explanation:
Yes, this is a function
A function is described as a relationship between f(x) and x where each x value corresponds to only 1 y value. A y value can correspond to multiple x values though.
In this picture, the curve only passes each x value once, so yes this is a function.
You can also use the vertical line test.
First, take a vertical line, and move it across the graph. If there is ever more than 1 time where the graph crosses the line, then it is not a function.
Performing this test on this curve, we see that the graph only acrosses the vertical line in one point across the whole graph, so yes this is a function