The graph of a rational function, f, is shown in the figure. Use the graph to answer the question.
-How can you tell that this is not the graph of a polynomial function?
A) The graph is not continuous.
B) The value of f(1) is not equal to 1.
C) The graph is continuous.
D) The graph is not a parabola.

Question

The graph of a rational function, f, is shown in the figure. Use the graph to answer the question. 
-How can you tell that this is not the graph of a polynomial function?
A) The graph is not continuous. 
B) The value of f(1) is not equal to 1. 
C) The graph is continuous. 
D) The graph is not a parabola.

Quizplus · Accepted Answer

Polynomial functions are continuous everywhere, so if a graph is not continuous, it cannot represent a polynomial function.

The Graph of a Rational Function, F, Is Shown in the Figure