If f is a function on the set of real numbers and is differentiable twice and that f(0), f '( 0) and f"(0 ) are all negative. Suppose f ” has all the three properties in the interval [0, \infty]. \I. It is increasing \II. It has a unique zero \III. It is unbounded Which of the same three properties does f necessarily have?

HCU MCA 2013 Paper

Question : 44 of 75

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If f is a function on the set of real numbers and is differentiable twice and that f(0), f '( 0) and f"(0 ) are all negative. Suppose f ” has all the three properties in the interval [0,

∞

\I.

It is increasing

\II.

It has a unique zero

\III.

It is unbounded
Which of the same three properties does f necessarily have?

Only $\I$
Only $\III$
Only $\II$
$\II$ and $\III$

Validate

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