Choose the term from the box that best completes each statement. even function power function 1. A function is 2. The. end behavior symmetric about a line symmetric about a point odd function if the line divides the graph into two identical parts. of a graph of a function is the behavior of the graph as x approaches infinity and as x approaches negative infinity. 3. A(n). 4. A function is. has a graph symmetric about the origin, thus f(x) = f(x). if each point on the graph has a point the same distance from the central point but in the opposite direction. 5. A(n) 6. A(n) has a graph symmetric about the y-axis, thus f(x) = f(-x). is a function of the form P(x) = ax", where n is a non-negative integer.