The table shows ordered pairs for a polynomial function, f. what is the degree of f?

Step-by-step explanation:

In order to find the degree of the power function represented in the given table, you must find the difference of the y-values (values of f(x)) until they diferences are constant.  

1) First differences:

2) Second differences:  

You must find the differences between the First  differences. Then, you get:

3) Third differences:  

You must find the differences between the Second  differences. Then, you get:

4) Fourth differences:  

You must find the differences between the Third  differences. Then, you get:

You can notice that the fourth differences are constant. This means that the degree of is: