If f(x) = 200x + 17, what is the maximum value of δ that ensures...

Lexi Mcneil

Lexi Mcneil

Answered

2022-07-27

If f(x) = 200x + 17, what is the maximum value of δ that ensures f(x) is within .1 unit of f(3) when x is within δ units of 3?

Answer & Explanation

Reese King

Reese King

Expert

2022-07-28Added 13 answers

f(3)=617
|f(x)-617|=|200x-600|=200|x-3| which has to be within 0.1
200 | x 3 | < 0.1 | x 3 | < 5.10 4
Hence the δ can be at max 5.10 4

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