Hello,
The graph shown is a one-to-one function. To get this answer let's start with finding out if it's a function. If a graph is a function it must pass the vertical line test(draw a vertical line and if it hits the graph more than once it's not a function). Since this graph passes the test we know it's a function. Now we need to find out if it's linear or one to one. If it's linear it must be a straight line, which it's not so it can't be linear. If it's one to one every point on the range must correspond with only one point on the domain. The graph does follow this rule.Therefore, the graph is a one-to-one function.