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Solution :

Given `f(x) =x^(2) + x -6, D_(f) =R` <br> Since f(x) is a polynomial function, therefore, f(x) is continuous and derivable for all x in R . <br> In particular , <br> (i) f(x) is continuous in [ -3,2] <br> (ii) f(x) is derivable in (-3,2) <br> Also, f(-3) = `(-3)^(2) -3-6` <br> ` f(2) =2^(2) + 2-6` <br> ` Rightarrow f(-3) = f(2)`