For a continuous function F on ( − 7 , 7 ), its derivative graph is constant at -1 on ( − 4 , − 1 ), is nonconstant on the other displayed intervals, and F ′ is undefined exactly at x = − 4 , − 1 , 4

Question

For a continuous function F on ( − 7 , 7 ), its derivative graph is constant at -1 on ( − 4 , − 1 ), is nonconstant on the other displayed intervals, and F ′ is undefined exactly at x = − 4 , − 1 , 4 . On which interval is F linear?

TestHub · Accepted Answer

A function is linear where its derivative is constant. Here F ′ ( x ) = − 1 on ( − 4 , − 1 ), so ( B ).

Mathematics - Continuity - Differentiability Question with Solution | TestHub

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