Question number three

Here is the graph:

Question number two

Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to Heinz the other key features of g(x).

• g(x) = x3 – x2 – 4x + 4
• g(x) = x3 + 2x2 – 9x – 18
• g(x) = x3 – 3x2 – 4x + 12
• g(x) = x3 + 2x2 – 25x – 50
• g(x) = 2x3 + 14x2 – 2x – 14

To find zero's of g(x) = x3– x2– 4x + 4 set all of functions to zero. The zero functions are -2, 2 and 1. Some key features include the y intercepts, and the axis of

symmetry. 

Question number one

Esmeralda and Heinz are working to graph a polynomial function, f(x). Esmeralda says that the third-degree polynomial has four intercepts. Heinz argues that the function only crosses the x-axis three times. Is there a way for them both to be correct? Explain your answer.  They are both correct because a third-degree polynomial has 3 roots so it can dross the x axis 3 times at most. Since there are 4 intercepts it can have both x and y.