Label and identify discontinuities of a rational function
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cancel out the discontinuous factor and is said to be non-removable when there is no factor in the numerator which can cancel out the discontinuous factor.
To find the discontinuities of a rational function, it is usually useful to factor the expressions in the function and we then set the denominator equal to 0 and solve for x. The value of x for which the factor appears in both the numerator and the denominator is the point of removable discontinuity while the value of x for which the factor appears in only the denominator is the point of non-removable discontinuity.
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