IGCSE /Grade 10
Maths MCQ Based On Asymptotes and excluded values for rational functions
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IGCSE Grade 10 Maths Asymptotes and excluded values for rational functions
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Rational function
Horizontal and vertical asymptotes
The vertical asymptote of a rational function is a vertical line that the function approaches as y goes to positive or negative infinity. The horizontal asymptote of a rational function is a horizontal line that the function approaches as x goes to positive or negative infinity.
Recall the basic definition of vertical asymptotes
\\(5y^2+2/y^2-y-12\\)
Recall the definition of the range , range = \\({\\(y \\in R \\space | \\space y \\neq c\\)}\\), where c is the excluded value
Find vertical asymptote, horizontal asymptote (if exists), and slant asymptote (if exists)
Recall the definition of the domain, domain = \\({Â \\(x \\in R | x \\neq c\\)},\\) where c is excluded value of x
Excluded values
The vertical asymptote of a rational function is a vertical line that the function approaches as y goes to positive or negative infinity. The horizontal asymptote of a rational function is a horizontal line that the function approaches as x goes to positive or negative infinity.
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