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I need help finding the value of "c" that makes the functions continuous!! f(x) = {...

I need help finding the value of "c" that makes the functions continuous!!

f(x) = { (x^2 + x - 20) / (x-4).... if x does NOT = 4.

f(x) = { c ... if x = 4.

and then this set:

f(x) = { x+c .....if x is greater than or equal to 1.

f(x) = { 5 - cx^2 .... if x > 1

and: how do I explain why the equation: x^5 + 2x^3 + x +2 = 0 has to have a solution on the interval (-1,0)?

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