Q.

If f(x)=x3+7x1,  then f(x)  has a zero between x=0 and x=1. The theorem that describes  this is

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a

Intermediate value theorem

b

Maximum-minimum value theorem

c

Squeeze play theorem

d

Mean value theorem

answer is D.

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Detailed Solution

f(0)=1;f(1)=7.sof(0)andf(1)  have opposite sign.

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If f(x)=x3+7x−1,  then f(x)  has a zero between x=0 and x=1. The theorem that describes  this is