Reciprocal Graphs - Sketching (AQA A-Level Mathematics): Quizzes

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Reciprocal Graphs - Sketching
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What is the basic form of a reciprocal graph?

y=kxy = \frac{k}{x}

What do reciprocal graphs illustrate?

Inverse relationships

What is asymptotic behaviour?

Graph approaches a line but never touches

For y=kax+by = \frac{k}{ax + b}, how do you find the vertical asymptote?

Set ax+b=0ax + b = 0

What is the horizontal asymptote for y=kxy = \frac{k}{x}?

y=0y = 0

What symmetry does y=kxy = \frac{k}{x} have?

Symmetric about the origin

If k>0k > 0 for y=kxy = \frac{k}{x}, which quadrants does the graph lie in?

First and third

For y=2xy = \frac{2}{x}, what is the value of yy when x=1x = 1?

22

For y=3x−2y = \frac{3}{x - 2}, where is the vertical asymptote?

x=2x = 2

What is the degree of rotational symmetry for y=kxy = \frac{k}{x} about the origin?

180180 degrees

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