Graphs That Are Not Functions Of X. For example a student asked to graph y x 5 will correctly calculate the ordered pairs 0 5 1 4 and 2 3 and incorrectly graph a line passing through the points. Figure pageindex 1 shows a graph that represents a polynomial function and a graph that represents a function that is not a polynomial.
The y values can be both positive and negative because y is inside absolute value symbol. For example a student asked to graph y x 5 will correctly calculate the ordered pairs 0 5 1 4 and 2 3 and incorrectly graph a line passing through the points. Figure pageindex 1 shows a graph that represents a polynomial function and a graph that represents a function that is not a polynomial.
A set of points in a rectangular coordinate system is the graph of a function if every vertical line intersects the graph in at most one point.
This curve fails the vertical line test. Use factoring to find zeros of polynomial functions find zeros of polynomial functions. The line y 2 is a horizontal asymptote for the function f x 2 1 x because the graph of the function gets closer to the line as x gets larger. Vertical lines are not functions as the x value has infinitely many y values.
