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If () <0f(x) <0 for <5x <5 and()>0f(x)>0 for >5x>5, and ()f(x) and()f(x) are continuous and differentiable everywhere, then which statement is true? f has

If ()<0f(x)<0 for<5x<5 and()>0f(x)>0 for >5x>5, and ()f(x) and()f(x) are continuous and differentiable everywhere, then which statement is true?

f has a local mimimum at =5x=5.

f has an inflection point at =5x=5.

The carrying capacity of ()f(x) is 5.

f has a local maximum at =5x=5.

f goes to infinity at =5x=5.

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