A root of f(x) = 0 lies between x = a and x = b if a.) f(a)f(b)= 0 b.) f(a)f(b)>0 c.) f(a)f(b) <0 d.) None of these

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Assuming that f(x) is a continuous function (naively the function has no holes, jumps, and the function does not tend to positive or negative infinity -- i.e. you could draw the function from x=a to x=b without lifting your pencil) then the answer is (c).

If f(a)f(b)<0 then exactly one of f(a) or...

(The entire section contains 178 words.)

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