Question

There is a continuous function g(x)that exists, where the three following characteristics are true for ALL...

There is a continuous function g(x)that exists, where the three following characteristics are true for

ALL values of x on g (x):

1) g ( x ) > 0

2) g ′ ( x ) > 0

3) g ′′ ( x ) < 0

Are they all correct? State “Yes” or “No” and then explain your answer.

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Answer #1

oiven a function 96) is continuous for all values Of X gix) Eramele I(As n+ 30² Ills un ton » This can be ave. g (1) Ian²sir all can't be true at a time because the function and derivative can be opposite due to extrema. The double derivative can be true as per function due to concavity.

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