1. Graph the function f(x) = (x + 3)³ by hand and describe the end behavior. 

 X              Y
-1              8

-2              1

-3              0

-4             -1

-5              -8   

     It is a cubic function so ends of the graph will go in different directions. Right side goes up while left side goes down.                                                              
















2.  Graph the function f(x) = –x⁴ – 4 by hand and describe the end behavior.

    It is a quartic function so ends of the graph will go in the same direction. Coefficient is negative both left and right side will go down.















3.  Graph the function f(x) = –3x³ + 9x² – 2x + 3 using graphing technology and describe the end behavior.

Cubic function so the ends of the graph will go in opposite directions. Coefficients is negative so left side goes up while the right side goes down.











4.  Graph the function f(x) = x⁴ – 7x³ + 12x² + 4x – 12 using graphing technology and describe the end behavior.   

       Quartic function so the ends of the graph will continue in the same direction. Coefficients is positive both left side and right side of the graph will continue to go up.










5.   Without using technology, describe the end behavior of f(x) = –3x³⁸ + 7x³ – 12x + 13.  Since the degree is an even number the ends of the graph will go in the same direction. The Coefficient is negative so the graph will be pointing down.

6.  Using complete sentences, explain how to find the zeros of the function f(x) = 2x³ – 9x + 3. To find zeroes of the function f(x)=2x³  -9x+3 you can use graphing technology. Just type the equation into the input bar and wherever the graph intersects the x axis is the answer.

7.  Create your own polynomial with a degree greater than 2. Attach the graph to the word document and find the zeros of the function.  My polynomial function is f(x)= 4x³  +6x² +7x+2

                       Zero of the function is (-0.38, 0)