Answer:
C. This is the graph of a one-to-one function
Step-by-step explanation:
It is a function if every y value has only one corresponding x value. In other words, you should not be able to get the same y value by plugging in two different x-values. The horizontal line test is a good way to determine this. Take your pencil horizontally and move it across the y-axis, it the function touches the pencil at two different points for the same y-value it is not a function. Clearly, the graph here is a function.
A function is a one-to-one function if every x value has only one corresponding y value. In other words, one x-value should not give you two different y-values. The vertical line test is a good way to determine this. Take your pencil vertically and move it across the x-axis, it the function touches the pencil at two different points for the same x-value it is not a one-to-one function. Clearly, the graph here is a one-to-one function.
A linear function would look like a straight line because the y-values would always vary by the same amount. This does not look like a line and isn't a linear function.
