Hey guys so i have a question that i just dont know where to start or what to do limits and continuity: 1)A function value: show that F(x)=[(x-a)^2][(x-b)^2] + x takes on the value (a + b)/2 for some value of x. Thanks so much.

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Originally Posted by scheuerman Hey guys so i have a question that i just dont know where to start or what to do limits and continuity: 1)A function value: show that F(x)=[(x-a)^2][(x-b)^2] + x takes on the value (a + b)/2 for some value of x. Thanks so much. set $\displaystyle (x - a)^2(x - b)^2 + x = \frac {a + b}2$ and solve for $\displaystyle x$