Mann Hills
08/25/2023 · Junior High School
gee die funksie \( f(x)=\frac{3}{x-1}-2 \). Gee die vergelykings van die asimptote van \( f \). Bereken die \( x \) en \( y \)-afsnitte van die grafiek. Teken die grafiek van \( f \) op die diagramvel wat voorsien is op bladsy 7 . Dui die asimptote en die afsnitte met die asse duidelik aan. Beskryf in woorde, die transformasie van \( f \) na \( g \) as \( g(x)=\frac{-3}{x+1}-2 \).
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Die vertikale asimptote is \( x = 1 \), die horizontale asimptote is \( y = -2 \). Die \( y \)-afsnit is \( (0, -5) \) en die \( x \)-afsnit is \( \left(\frac{5}{2}, 0\right) \). Die transformasie van \( f \) na \( g \) is 'n verskuiwing van 1 eenheid na links, 'n refleksie oor die \( x \)-as, en die horizontale asimptote bly onveranderd.
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