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graphing based on derivatives

Hello, I am trying to graph the function that satisfies the following conditions:

f(1)=0

f(-1) = 4

f’(-1) = 0

f’(1) does not exist

f'(x) < 0 if |x| <1

f’(x) > 0 if |x| > 1

f’’(x) < 0 if x does not equal 1

On the attached image, I have made an attempt but I dont think I am correct. Can someone please help show me where I have gone wrong.

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Re: graphing based on derivatives

Quote:

Originally Posted by

**fran1942** Hello, I am trying to graph the function that satisfies the following conditions:

f(1)=0

f(-1) = 4

f’(-1) = 0

f’(1) does not exist

f'(x) < 0 if |x| <1

f’(x) > 0 if |x| > 1

f’’(x) < 0 if x does not equal 1

On the attached image, I have made an attempt but I dont think I am correct. Can someone please help show me where I have gone wrong.

my attempt ...