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College Algebra 'Asymptotes'
College Algebra 'Asymptotes'
Vertical Asymptote:
- cannot divide by 0
- found by setting the denominator equal to zero and solving for x
- remember to factor completely first
Horizontal Asymptote:
- found by looking at the leading terms of the numerator and the denominator
- the horizontal asymptote= ax^# (term of numerator)/ bx^# (term of denominator)
- if the numerator has a lower degree that the denominator, then there is horizontal asymptote; y=0
- if the numerator and denominator have the same degree, then simplify the leading coefficients; y=a/b
Oblique Asymptote
- found by looking at the leading terms of the numerator and the denominator
- oblique asymptote= ax^# (term of numerator)/ bx^# (term of denominator)
- if the numerator exponent is EXACTLY one more than the denominator, then there will be an oblique asymptote. to find it, divide and disregard the remainder, set the quotient equal to y
College Algebra 'Asymptotes'
Vertical Asymptote:
- cannot divide by 0
- found by setting the denominator equal to zero and solving for x
- remember to factor completely first
Horizontal Asymptote:
- found by looking at the leading terms of the numerator and the denominator
- the horizontal asymptote= ax^# (term of numerator)/ bx^# (term of denominator)
- if the numerator has a lower degree that the denominator, then there is horizontal asymptote; y=0
- if the numerator and denominator have the same degree, then simplify the leading coefficients; y=a/b
Oblique Asymptote
- found by looking at the leading terms of the numerator and the denominator
- oblique asymptote= ax^# (term of numerator)/ bx^# (term of denominator)
- if the numerator exponent is EXACTLY one more than the denominator, then there will be an oblique asymptote. to find it, divide and disregard the remainder, set the quotient equal to y