can someone help me with a problem please!!

Question

heyitslizzy13 · Answer

attachment

heyitslizzy13 · Answer

@satellite73 @Directrix @jim_thompson5910

jhannybean · Answer

which part of the problem?

heyitslizzy13 · Answer

The first part for now :)

freckles · Answer

Hint: Intermediate Value theorem

heyitslizzy13 · Answer

@freckles do you know any good websites to review the theorem?

jhannybean · Answer

$$f(x) = ax^3-11x^2+bx+c \qquad f(-3)=10, \qquad f(0)=4,\qquad f(-1)=4$$$$f(-3)=(-3)^3a -11(-3)^2+(-3)b+c=10 $$$$f(-3)=-27a-99-3b+c=10$$$$f(-3) = -27a-3b+c=109$$ ...perhaps we can solve this as a system of equations?

heyitslizzy13 · Answer

could you show me how? please and thank you :)

jim_thompson5910 · Answer

part a)

imagine you have a river that is a complete straight line

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this straight line would stretch forever in both directions

jim_thompson5910 · Answer

now let's say we had point A and point B

one point on either side

|dw:1443850712927:dw|

jim_thompson5910 · Answer

if we connect the two points with a continuous function, then it is impossible to not pass through the line. 

we might have something like this

|dw:1443850761686:dw|

the path has to cross over the river somewhere