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Pertanyaan

G r a f ik f u n g s i f ( x ) = x 3 + 6 x 2 − 15 x + 3 naik p a d a in t er v a l ....

  1. negative 1 less than x less than 5

  2. negative 5 less than x less than 1

  3. x less than 1 space a t a u space x greater than 5

  4. x less than negative 5 space a t a u space x greater than 1

  5. x less than negative 1 space a t a u space x greater than 5

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

K i t a space k e t a h u i space b a h w a space f u n g s i space f left parenthesis x right parenthesis space n a i k space k e t i k a space f apostrophe space left parenthesis x right parenthesis greater than 0 space f apostrophe space left parenthesis x right parenthesis equals 3 x squared plus 12 x minus 15 greater than 0 space ⟺ x squared plus 4 x minus 5 greater than 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space ⟺ left parenthesis x plus 5 right parenthesis left parenthesis x minus 1 right parenthesis greater than 0 space... space left parenthesis i right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space ⟺ space x subscript 1 equals negative 5 space a t a u space x subscript 2 equals 1

K e m u d i a n space d i l a k u k a n space u j i space t i t i k space u n t u k space m e n g e t a h u i space d a e r a h space p e n y e l e s a i a n n y a. space P i l i h space 3 space t i t i k space k e c u a l i space minus 5 space d a n space 1 space left parenthesis k a r e n a space t e r b a g i space m e n j a d i space 3 space d a e r a h comma space y a i t u space d i space s e b e l a h space k i r i space minus 5 comma space a n t a r a space minus 5 space d a n space 1 comma space d i space s e b e l a h space k a n a n space 1 right parenthesis space M i s a l k a n space d i p i l i h space x equals negative 6 space left parenthesis d i space s e b e l a h space k i r i space minus 5 right parenthesis space S u b s t i t u s i space k e space f apostrophe left parenthesis x right parenthesis space s e h i n g g a space d i p e r o l e h colon space left parenthesis negative 6 right parenthesis squared plus 4 left parenthesis negative 6 right parenthesis minus 5 equals 36 minus 24 minus 5 equals 7 comma space 7 greater than 0 space rightwards arrow space n a i k space left parenthesis plus right parenthesis space space K e m u d i a n space d i p i l i h space x equals 0 space left parenthesis a n t a r a space minus 5 space d a n space 1 right parenthesis S u b s t i t u s i space k e space f apostrophe left parenthesis x right parenthesis space s e h i n g g a space d i p e r o l e h colon space left parenthesis 0 right parenthesis squared plus 4 left parenthesis 0 right parenthesis minus 5 equals negative 5 comma space minus 5 less than 0 space rightwards arrow space t u r u n space left parenthesis negative right parenthesis space space S e l a n j u t n y a space d i p i l i h space x equals 2 space left parenthesis d i space s e b e l a h space k a n a n space 1 right parenthesis space S u b s t i t u s i space k e space f apostrophe left parenthesis x right parenthesis space s e h i n g g a space d i p e r o l e h colon space left parenthesis 2 right parenthesis squared plus 4 left parenthesis 2 right parenthesis minus 5 equals 7 comma space 7 greater than 0 space rightwards arrow space n a i k space left parenthesis plus right parenthesis

J a d i comma space d a e r a h space h i m p u n a n space p e n y e l e s a i a n n y a space a d a l a h space x less than negative 5 space a t a u space x greater than 1.

 

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