rational function
ra
ˈrÃĻ
rā
tio
ʃə
shē
nal
nəl
nēl
func
fƌnk
fank
tion
ʃən
shēn
/ɚˈaʃənəl fËˆĘŒÅ‹kʃən/

āχāĻ‚āϰ⧇āϜāĻŋāϤ⧇ "rational function"āĻāϰ āϏāĻ‚āĻœā§āĻžāĻž āĻ“ āĻ…āĻ°ā§āĻĨ

01

āĻŽā§‚āϞāĻĻ āĻĢāĻžāĻ‚āĻļāύ, āĻŽā§‚āϞāĻĻ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ

a function that can be expressed as the ratio of two polynomials, where the denominator is not zero
āωāĻĻāĻžāĻšāϰāĻŖ
The graph of a rational function can have holes where the numerator and denominator have common factors that cancel out.
āĻāĻ•āϟāĻŋ āϝ⧁āĻ•ā§āϤāĻŋāϏāĻ™ā§āĻ—āϤ āĻĢāĻžāĻ‚āĻļāύ āĻāϰ āĻ—ā§āϰāĻžāĻĢ⧇ āĻ—āĻ°ā§āϤ āĻĨāĻžāĻ•āϤ⧇ āĻĒāĻžāϰ⧇ āϝ⧇āĻ–āĻžāύ⧇ āϞāĻŦ āĻāĻŦāĻ‚ āĻšāϰ āĻāϰ āϏāĻžāϧāĻžāϰāĻŖ āϗ⧁āĻŖāύ⧀āϝāĻŧāĻ• āϰāϝāĻŧ⧇āϛ⧇ āϝāĻž āĻŦāĻžāϤāĻŋāϞ āĻšāϝāĻŧ⧇ āϝāĻžāϝāĻŧāĨ¤
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āύāĻŋāĻ•āϟāĻŦāĻ°ā§āϤ⧀ āĻļāĻŦā§āĻĻ
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āĻ…ā§āϝāĻžāĻĒ āĻĄāĻžāωāύāϞ⧋āĻĄ āĻ•āϰ⧁āύ