Create your free account Teacher Student. So in order for the points to represent a function, for every input into our function, we can only get one value. which graphs are functions? So if we look here, they've graphed the point--it looks like negative 1, 3, so that's the point negative 1, 3. We can also represent functions using graphs by plotting all the ordered pairs of a function on a coordinate axis. If each x value has a unique y value, then the graph represents a function. R^2 at SCC When a function is given as a graph, we have a nice test we can use to determine if the graph represents a function. Check out this tutorial and learn how to determine is a graph represents a linear, quadratic, or exponential function! In a table, if a value is given in the x table twice with separate y values, then it is NOT a function. Simple. Answer and Explanation: Graphs come in all sorts of shapes and sizes. The [math]cos(0) = 1 [/math]and [math]sin(0)=0[/math]. Determine whether a graph is a function. We're asked: Do the points on the graph below represent a function? This test is called the vertical line test. We can easily determine whether or not an equation represents a function by performing the vertical line test on its graph. Graphs. Look at where the graph crosses the X-axis at the point [math]x=0[/math]. If an algebraic equation defines a function, then we can use the notation f (x) = y. If any vertical line intersects the graph more than once, then the graph does not represent a function. vertical line test to determine if a graph represents a function THE VERTICAL LINE TEST A graph (or set of points) in the plane is a FUNCTION if no vertical line contains more than one of its points. In a graph, we have what is called the vertical line test, in which if a vertical line crosses the graph in two or more points, then it is NOT a function. All points must lie along the curve for it to be a function. 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