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n200080 [17]
2 years ago
4

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

Mathematics
1 answer:
Lelu [443]2 years ago
5 0

Answer: Degree=4

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:

8-63=-55\\-1-8=-9\\0-(-1)=1\\-1-0=-1\\8-(-1)=9\\63-8=55

2) Second differences:  

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

-9-(-55)=46\\1-(-9)=10\\-1-1=-2\\9-(-1)=10\\55-9=46

3) Third differences:  

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

10-46=-36\\-2-10=-12\\10-(-2)=12\\46-10=36

4) Fourth differences:  

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

-12-(-36)=24\\12-(-12)=24\\36-12=24

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

Degree=4

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Step-by-step explanation:

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