TMUA Euclid Sample Paper 2 · Question 5

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Euclid Sample Paper 2 · Q5

Paper 2Functions & graphs

A function $f$ is continuous on $[0,1]$ . Consider

$P:$ $f(c)=0$ for some $c\in(0,1)$ ,

$Q:$ $f(0)f(1)<0$ .

Which option correctly describes the relationship between $P$ and $Q$ ?

P

is necessary and sufficient for

Q

P

is sufficient but not necessary for

Q

P

is necessary but not sufficient for

Q

P

is neither necessary nor sufficient for

Q

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