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- THE GRAPH OF F(X) = 1 DIVIDED BY X OR Y = 1 DIVIDED BY X IS SHOWN IN BLACK ON THIS GRAPH HERE. WE WANT TO MATH EACH EQUATION WITH THE CORRECT GRAPH ALSO GRAPHED ON THE SAME COORDINATE PLANE. SO THIS GRAPH IS PRETTY MESSY. THE FIRST THING WE SHOULD RECOGNIZE IS THE BASIC FUNCTION, F(X) = 1 DIVIDED BY X, WOULD BE THE GRAPH OF THIS FUNCTION HERE, GRAPHED HERE IN BLACK, WHERE ONE PIECE IS IN THE FIRST QUADRANT AND THE SECOND PIECE IS IN THE THIRD QUADRANT. AND THE FIRST EQUATION GIVEN IS Y = 1 DIVIDED BY THE QUANTITY X - 3 WHICH WE SHOULD RECOGNIZE WOULD BE EQUIVALENT TO CHANGING THE INPUT OF F TO X - 3, SO THIS IS EQUIVALENT TO F(X - 3). IF WE COMPARE THESE FUNCTION NOTATIONS, NOTICE HOW IN THE GIVEN FUNCTION F(X), WHEN X IS 0 OR THE INPUT IS 0, IT'LL ACTUALLY TAKE LARGER VALUES OF X FOR THIS FUNCTION TO GET THE SAME INPUTS. NOTICE IT TAKES AN X VALUE OF 3 TO GET AN INPUT OF 0 INTO THIS FUNCTION, AND THEREFORE THIS ACTUALLY SHIFTS THE GRAPH 3 UNITS TO THE RIGHT, AND THEREFORE TH

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