Use successive differences to classify the function represented in the table as linear, quadratic, cubic or other. show all your work. x –3 –2 –1 0 1 2 3 g(x) –29 –10 –3 –2 –1 6 25

The function shows by the table is cubic function.

Explanation: Since, the given values of the function are

f(x):             –29          –10         –3       –2           –1           6         25  

First difference:        19           7             1            1              7          19

Second difference:          -12          -6          0             6           12

Third  difference:                      6          6            6            6

       Since, here, the value in third difference is repeating to 6. Therefore, according to the definition of successive difference, equation must have three degree. So, it is a cubic equation.  

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.  

the answer is c.

step-by-step explanation: