Question

Is the following graph a function

Answer 1

You can use the vertical line test to determine if the graph is a function.

A function must: for every x value have only one y value.

Vertical line test: if you draw a bunch of vertical lines each line only touches the graph once.

So a circle would not be a function, or a horizontally facing parabola, etc... Remember, if you draw a vertical line "|" and it touches the graph more than once at any point then it is not a function.

Now take a look at the graph in the question.
In this graph if we do the vertical line test there are no place where a vertical line touches the graph twice so this graph is indeed a function.

This means your answer is C. Yes