Question

Table 2:
x:
4
-2
0
2
4

f(x):
256
16
0
16
256

Table 3
x:
-4
-2
0
2
4

f(x):
-8
-4
0
4
8

Table 4
x:
-4
-2
0
2
4

f(x):
-1
1
3
5
7

Table 5
x:
-4
-2
0
2
4

f(x):
3
5
7
9
11

Which of these tables DOES NOT represent a Linear Function?

Answer 1

You are wrong

Answer 2

Table 5 does not represent a linear function. This is because the values of f(x) do not increase or decrease by a consistent rate as x increases or decreases. In linear functions, the rate of change between each pair of x-values should be constant.

Answer 3

I apologize for the confusion. Let's reevaluate the tables:

Table 2:
The values of f(x) for Table 2 are:
256, 16, 0, 16, 256

Looking at the pattern, it appears that the function is symmetric around x = 0, with the maximum value of 256 at x = 4, the minimum value of 0 at x = 0, and the same values of 16 at x = -2 and x = 2. This is not indicative of a linear function.


Table 3:
The values of f(x) for Table 3 are:
-8, -4, 0, 4, 8

The values of f(x) increase by 4 for each increase of 2 in x. Thus, Table 3 represents a linear function.


Table 4:
The values of f(x) for Table 4 are:
-1, 1, 3, 5, 7

The values of f(x) increase by 2 for each increase of 2 in x. Thus, Table 4 represents a linear function.


Table 5:
The values of f(x) for Table 5 are:
3, 5, 7, 9, 11

The values of f(x) increase by 2 for each increase of 2 in x. Thus, Table 5 also represents a linear function.

Based on the analysis above, Table 2 does not represent a linear function. Thank you for pointing out the error in my initial response.