Question

A polynomial function is represented by the data in the

table.
f(x)
-8
-3
5
1
-35-17
6
2
1
6
7
ال انا
3
2
2116
12
3=
Choose the function represented by the data.
○
f(x) = x + 4 = 1/2
○ f(x) = = = x - 12/1/2
о
6
○ f(x)=x²-85
O
7
37
○ f(x) = = = x² + 3x - ³7
O
6

Answer 1

○ f(x) = x² + 3x - 37

Explanation:

Based on the given data in the table, we can observe that the function values (f(x)) correspond to different x-values. To determine the polynomial function represented by the data, we need to find the pattern or relationship between the x-values and the corresponding f(x) values.

Looking at the data, we can see that the x-values are increasing by 1 each time, and the corresponding f(x) values seem to be following a pattern. Let's analyze the data:

x | f(x)

--+-----

-8 | -35

-3 | -17

5 | 6

1 | 2

6 | 3

2 | 2

1 | 1

6 | 7

7 | 37

From the given data, it appears that the polynomial function represented by the data is:

f(x) = x² + 3x - 7

None of the provided options exactly matches this polynomial function, but the closest option is:

○ f(x) = x² + 3x - 37

So, the closest function represented by the data is f(x) = x² + 3x - 37.