Need some help

Mar 2019
2
0
King City
I need help with this ive been struggling alot with pre calculus by so far ive had a B+ in the class but ive hit a wall with this question. Thanks in advance.

Sketch the graph of a fucntion with the following characteristics.

1. f is continuous on (-∞,∞)
2. f(-6)=0
3. f(-4)=3
4. f(-2)=0
5. f(1)=4
6. f(4)=0
7. f'(-2)= f'(1)=0
8. f'(-4)DNE
9. f'(x)>0 on(-∞, -4) and (-2,1)
10. f'(x)<0 on(-4,-2) and (1, ∞)
11. f''(x)>0 on (-4,0)
12. f''(x)<0 on (0,∞)
13. f''(x)=0 on (-∞,-4)

Any hell would be great ive never asked for help exept for today i normally do it on my own or try atleast but its 10:18 pm where i live at and im tired already. Thank you again

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Dec 2014
130
101
USA
I need help with this ive been struggling alot with pre calculus by so far ive had a B+ in the class but ive hit a wall with this question. Thanks in advance.

Sketch the graph of a fucntion with the following characteristics.

1. f is continuous on (-∞,∞)
2. f(-6)=0
3. f(-4)=3
4. f(-2)=0
5. f(1)=4
6. f(4)=0
7. f'(-2)= f'(1)=0
8. f'(-4)DNE
9. f'(x)>0 on(-∞, -4) and (-2,1)
10. f'(x)<0 on(-4,-2) and (1, ∞)
11. f''(x)>0 on (-4,0)
12. f''(x)<0 on (0,∞)
13. f''(x)=0 on (-∞,-4)

Any hell would be great ive never asked for help exept for today i normally do it on my own or try atleast but its 10:18 pm where i live at and im tired already. Thank you again

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I assume you understand continuity of a function and are also able to plot the specific function values given in (2) thru (6).

To assess what you need to know, please answer the following questions.

What does the derivative info given in (7), (8), (9) and (10) say about the function's behavior?

What does the second derivative info given in (11), (12) and (13) say about the function's behavior?

Please be specific in your responses.
 
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Mar 2019
2
0
King City
Actually my daughter was the one asking last night she was using my takatalk account. She went to sleek around 1 am trying to figure this out and i was no help since i dont understand calculus im more of a computer software dad. But any help with her question would help her sorry if it sounds like she just wants the answer but i think caculus really overwhelmed her in her kast year of high school.

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