Symmetry

1. The functions f(x) and g(x) are even functions. Is f + g, the sum of the functions, always an even function? Explain why or why not.

Complex Numbers and Graphs

Q. By looking at a graph you can see when a polynomial crosses the axis 0, 1, or 2 times. In a response of at least 50-words, what does this have to do with complex numbers?

Zeros of Rational Functions

Q.Desmond and Donovan are working on a class project where they have to create a rational function with the following criteria:

• Holes at x = -2 and x = 6
• Zeros at x = 0 and x = 3

Desmond presents the function

Donovan presents the function

Which student will receive full credit? Explain your answer choice.