Vertical Graph Math. A rational functions vertical asymptote will depend on the expression found at its denominator. This means that the function has restricted values at 2 and 2.
View GN logarithmic graphsdocx from MATH 1033C at University of Notre Dame. For graphing draw in the zeroes at x 0 π 2π etc and dash in the vertical asymptotes midway between each zero. So 100 again dividing by zero is undefined.
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Multiply the previous y y -values by k k giving the new equation y kfx y k f x. The slope of a vertical line is undefined because the denominator of the slope the change in X is zero. Vertical Shift y fx d will shift fx up d units. This tends to make the graph flatter and is called a vertical shrink.