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Answer :
Final answer:
To evaluate f(68.5) from the given table, we can use linear interpolation. The estimated value of f(68.5) is 71.
Explanation:
To evaluate f(68.5) from the given table, we need to find the value of f(x) when x is 68.5. However, we don't have an exact match for 68.5 in the x column.
In this case, we can use linear interpolation to estimate the value of f(68.5) based on the surrounding values.
We can see that the range for x values that bracket 68.5 is 68 and 69.
The corresponding f(x) values for those x values are 72 and 70 respectively.
Using linear interpolation, we can estimate the value of f(68.5) by finding the average of the corresponding f(x) values: (72 + 70) / 2 = 71.
Learn more about Linear interpolation here:
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