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Intemediate Value Theorem

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How do you verify the intermediate value theorem over the interval [0,5], and find the c that is guaranteed by the theorem such that f(c)=11 where #f(x)=x^2+x-1#?
How do you verify the intermediate value theorem over the interval [0,3], and find the c that is guaranteed by the theorem such that f(c)=0 where #f(x)=x^2-6x+8#?
How do you verify the intermediate value theorem over the interval [0,3], and find the c that is guaranteed by the theorem such that f(c)=4 where #f(x)=x^3-x^2+x-2#?
How do you verify the intermediate value theorem over the interval [5/2,4], and find the c that is guaranteed by the theorem such that f(c)=6 where #f(x)=(x^2+x)/(x-1)#?
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