1. List any discontinuities in the following graphs (if there is an oblique asymptote just state YES OR NO cxists) 3x +5 3x2 -4 x2 - x f(x) : x - 2 f(x) = f(x) = f(x) %3D %3D %3D Discontinuity 2-5x x-2 X-1 Vertical Asymptote Horizontal Asymptote Oblique Asymptote Hole
A function is said to have a discontinuity at a point then the function is not defined at that point.
A function is said to have a vertical asymptote at a point L if the function's value is infinity at that point. Or we can say a function has a vertical asymptote at a point if the denominator is equal to 0 at that point.
A function is said to have a horizontal asymptote at a point L if
A function has an oblique asymptote if the degree of the numerator is 1 more than that of the denominator.
A function has a hole at a point if the numerator and denominator after factoring have a common term. We then have to put that common term equal to 0 and get the value of x and then simplify the function and put the value of x obtained to get the value of y .
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