anonymous
  • anonymous
Does there exist a continuous function and differentiable function f(x) such that f(0)=−3 f(2)=−7 and f(x)−8 for all x in (02)? Answer: ( yes or no
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
f(x)is less than or equal to -8
amistre64
  • amistre64
could be a quadratic possibly
amistre64
  • amistre64
but not if f(x) >= -8 or do you mean that other than at 0 and 2 it is <=-8?

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amistre64
  • amistre64
either way, you cant jump to -8 and below from the endpoints so I would say that this is not a good function

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