The best function to model this data is a linear function.
We have the data:
x y
0 -1
1 -0.5
2 0
3 0.5
4 1
From the table, we see that,
The slope of the points are given by:
(- 0.5 + 1) / (1 - 0) = 0.5 / 1 = 0.5
(0 + 0.5) / (2 - 1) = 0.5
(0.5 - 0 ) / (3 - 2) = 0.5
(1 - 0.5) / ( 4 - 3 ) = 0.5
Thus, the equation of the function is, y = 0.5 x - 1
So, the best function for this model is a linear function.
Therefore, we get that, the best function to model this data is a linear function.
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Your question was incomplete. Please refer the content below:
Which kind of function best models the data in the table? use differences or ratios.
x y
0 -1
1 -0.5
2 0
3 0.5
4 1
a)liner
b)quadratic
c)exponential
d)none of these
