Englishfor English speakers
function
Noun
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Something or someone's function is its purpose or its job.
The army sometimes performs a policing function.
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A function is an organised event.
I met Sylvia at a church function last week.
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If mathX/math is a function of mathY/math, then mathX/math exists because of or is affected by mathY/math
The speed of the computer is a function of its main processor.
When you see, mathY=f(X)/math, you read it, "mathY/math is a function of mathX/math". Here the value of mathY/math depends on the value assigned to the variable mathX/math.
function
Verb
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If something is functioning, it is working and is not completely broken.
Her heart stopped, but her brain continued to function.
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If something functions as mathX/math, it does the job of mathX/math.
In this sentence, "sentence" functions as the subject.
field
Noun
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A field is an open area of land that can be used for many different things, from sports to crop-growing.
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A field is an area of study or work.
He was an expert in the field of American history.
field
Verb
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If you field something, you answer it; you address it.
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If you field the team, you place them in the game.