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Functions, EXT1′ F1 2018 HSC 4 MC

Which graph best represents the curve  `y = 1/sqrt(x^2 - 4)`?
 

A.    B.   
C.    D.   
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`=>\ text(C)`

Show Worked Solution

`text(S)text(ince)\ \ sqrt(x^2 – 4) > 0`

`=> y > 0\ \ (text(Eliminate B and D))`
 

`text(As)\ x -> 2^+, sqrt(x^2 – 4) -> 0, y -> ∞`

`text(As)\ x -> -2^-, sqrt(x^2 – 4) -> 0, y -> ∞`

`=>\ text(C)`

Filed Under: Reflections and Harder curves, Reflections and Harder Graphs (Ext1) Tagged With: Band 3, smc-1072-40-Other Graphs, smc-1072-50-Even Functions, y^2 = f(x)

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