SOLUTION: Describe the graph of each equation. y=1/x how would you describe this? I dont understand the answer in my book.

Question 194631This question is from textbook
: Describe the graph of each equation.
y=1/x
how would you describe this? I dont understand the answer in my book. This question is from textbook

Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
y =1/x,,,,also called the reciprocal function
,
there is a horizontal asymptote at ,, y=o
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and a vertical asymptote at x=0
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to rough sketch this, draw a standard x - y coordinate system.
sketch in asymptotes, (same as x,y axis)
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starting at far left, x=- infinity, y is on the negative side of zero( approaches zero),
going to right this function curves downward, to - infinity as x approaches zero.
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skipping over the x=0 asymptote, The function picks up at + infinity
as we go right it curves down to approach y=0 as x = + infinity
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in short in the 3rd quadrant it is a "u" vertex at (0,0) pointed down and to left,
in the 1st quadrant, it is a "u" vertex at (0,0) pointing up and to right. NOTE that the vertex does not touch (0,0) , but only approaches along the 45 degree line, y=x.
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hpoefully this helps
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