#### Which of the following is true ? Option 1) If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that    Option 2) If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that    Option 3) If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that    Option 4) If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that

As we have learned

Properties of Continuous function -

If  f is  continuous at a and     then there exists an open interval (  )   such that for all         has the same sign as

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If f(x) is continous  at x= a, f(a)  zero than there exists an interval  such that , f(x) has same sign ad f(a)

Option 1)

If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that

Option 2)

If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that

Option 3)

If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that

Option 4)

If f(x) is continous at 1 , f(1)= 10 then there exists an interval   such that