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Pertanyaan

G r a f i k space f u n g s i space space f open parentheses x close parentheses equals a x cubed plus b x squared minus c x plus 20 space space t u r u n comma space j i k a space horizontal ellipsis.

  1. b squared minus 4 a c less than 0 space dan space a less than 0

  2. b squared plus 4 a c less than 0 space dan space a less than 0

  3. b squared plus 3 a c less than 0 space dan space a greater than 0

  4. b squared plus 3 a c less than 0 space dan space a less than 0

  5. b squared minus 3 a c less than 0 space dan space a less than 0

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Suatu fungsi akan turun jika akan definit negative jika Maka :

Suatu fungsi f left parenthesis x right parenthesis  akan turun jika  f to the power of apostrophe open parentheses x close parentheses less than 0

f open parentheses x close parentheses equals a x squared plus b x plus c  akan definit negative jika  D less than 0 space dan straight space a less than 0

Maka :

f open parentheses x close parentheses equals a x cubed plus b x squared minus c x plus 20 f apostrophe open parentheses x close parentheses equals 3 a x squared plus 2 b x minus c F u n g s i space f left parenthesis x right parenthesis space space a k a n space t u r u n space j i k a space f to the power of apostrophe open parentheses x close parentheses less than 0 space space y a i t u space colon 3 a x squared plus 2 b x minus c less than 0

S y a r a t space f u n g s i space space 3 a x squared plus 2 b x minus c equals 0 space space a k a n space b e r n i l a i space n e g a t i v e comma space a d a l a h space colon D less than 0 space left right double arrow B squared minus 4 A C less than 0 space space left parenthesis d i m a n a space colon space A space equals space 3 a comma space B equals space 2 b space d a n space C space equals space – c right parenthesis open parentheses 2 b close parentheses squared minus 4 open parentheses 3 a close parentheses open parentheses negative c close parentheses less than 0 4 b squared plus 12 a c less than 0 b squared plus 3 a c less than 0  d a n

A less than 0 left right double arrow 3 a less than 0

                    a less than 0

J a d i comma space f u n g s i space f open parentheses x close parentheses equals a x cubed plus b x squared minus c x plus 20 space space a k a n space t u r u n comma space j i k a space space b squared plus 3 a c less than 0 space dan straight space a less than 0

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J i k a space k u r v a space space y equals open parentheses x squared minus a close parentheses open parentheses 2 x plus b close parentheses cubed space space t u r u n space p a d a space i n t e r v a l space space minus 1 less than x less than 2 over 5 space space m a k a space n i l a i space a b space equals space horizontal ellipsis.

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