Using function theory, the function that could represent this situation is
f(x) = |42. 67 – x| .
It is given that
The standard diameter of the golf ball = is 42.67
Allowable discrepancy = ±0.002
So upper limit of diameter = 42.672
The lower limit of diameter = 42.668
We need a function that can help in finding a discrepancy.
<h3>What is a function?</h3>
A function is a rule which determines the relation between two variables.
The correct function that could represent this situation will be
f(x ) = |42. 67 – x|
Where x is the diameter of the ball produced.
For example, if a ball of diameter 42.665 is produced
f(x) = |42. 67 – x|
f(42.665) = |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.
So, one can easily decide whether to stop production or not.
Therefore, the function that could represent this situation is
f(x) = |42. 67 – x| .
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