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C x intercepts of the graph of a quadratic function The x intercepts of the graph of a quadratic function f given by f(x) = a x 2 b x c are the real solutions, if they exist, of the quadratic equation a x 2 b x c = 0 The above equation has two real solutions and therefore the graph has x intercepts when the discriminant D = b 2 4 a c is positiveContinuity – HMC Calculus Tutorial For functions that are "normal" enough, we know immediately whether or not they are continuous at a given point Nevertheless, the continuity of a function is such an important property that we need a precise definition of continuity at a point A function f is continuous at c if and only if lim x → c0 ' ( 2 3 4 5 4 6 7 8 9 & ' ! Comp Nus Edu Sg Ç }CfB CXg