Question

Use the function table to answer the question.

Information
x f of x
0 negative 1
1 1
2 7
3 17
4 31

Question
Which function matches the table?

Answer options with 4 options
A.
f of x equals 2 x minus 1

B.
f of x equals 4 x minus 1

C.
f of x equals 2 x squared minus 1

D.
f of x equals x cubed minus 1

Answers

GPT 3.5
To determine which function matches the given table, we can observe the pattern in the table.

By comparing the given values of x and f(x), we can see that the difference between consecutive values of f(x) is increasing by 6 each time. This suggests that the function involves multiplying x by a constant and adding or subtracting another constant.

By examining the first value of x and f(x), we can determine that the function involves subtracting 1.

Considering all this information, we can determine that the function that matches the table is:

B. f of x equals 4 x minus 1

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