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Pertanyaan

G r a f ik f u n g s i k u a d r a t f ( x ) = 2 x 2 + 5 x − 12 d an g a r i s y + 14 = a x t i d ak p er nah b er p o t o n g an jika ....

  1. a less than 9

  2. 1 less than a less than 9

  3. a less than 1 space a t a u space a greater than 9

  4. a greater than 1

  5. a less than negative 9 space a t a u space greater than 1

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

f left parenthesis x right parenthesis equals 2 x squared plus 5 x minus 12 y plus 14 equals a x space ⟺ y equals a x minus 14 space space f left parenthesis x right parenthesis equals y 2 x squared plus 5 x minus 12 equals a x minus 14 2 x squared plus 5 x minus a x minus 12 plus 14 equals 0 2 x squared plus open parentheses 5 minus a close parentheses x plus 2 equals 0 space ⟹ left parenthesis stack 2 with underbrace below with a below x squared plus stack stack open parentheses 5 minus a close parentheses with underbrace below with b below x plus stack 2 with underbrace below with c below equals 0 right parenthesis G r a f i k space f u n g s i space k u a d r a t space d a n space g a r i s space t i d a k space b e r p o t o n g a n space m e m i l i k i space s y a r a t space D less than 0 comma space m a k a space colon b squared minus 4 a c less than 0 open parentheses 5 minus a close parentheses squared minus 4 open parentheses 2 close parentheses open parentheses 2 close parentheses less than 0 25 minus 10 a plus a squared minus 16 less than 0 a squared minus 10 a plus 9 less than 0 open parentheses a minus 1 close parentheses open parentheses a minus 9 close parentheses less than 0 a equals 1 space a t a u space a equals 9

K e m u d i a n space l a k u k a n space u j i space t i t i k space U n t u k space n i l a i space a less than 1 comma space m i s a l k a n space d i p i l i h space a equals 0 space S u b s t i t u s i space k e space a squared minus 10 a plus 9 space rightwards double arrow open parentheses 0 close parentheses squared minus 10 open parentheses 0 close parentheses plus 9 equals 9 comma space 9 greater than 0 space left parenthesis p o s i t i f right parenthesis space U n t u k space n i l a i space 1 less than a less than 9 comma space m i s a l k a n space d i p i l i h space a equals 2 space S u b s t i t u s i space k e space a squared minus 10 a plus 9 space rightwards double arrow open parentheses 2 close parentheses squared minus 10 open parentheses 2 close parentheses plus 9 equals negative 7 comma space minus 7 less than 0 space left parenthesis n e g a t i f right parenthesis space U n t u k space n i l a i space a greater than 9 comma space m i s a l k a n space d i p i l i h space a equals 10 space S u b s t i t u s i space k e space a squared minus 10 a plus 9 space rightwards double arrow open parentheses 10 close parentheses squared minus 10 open parentheses 10 close parentheses plus 9 equals 9 comma space 9 greater than 0 space left parenthesis p o s i t i f right parenthesis space K a r e n a space a squared minus 10 a plus 9 less than 0 space rightwards arrow space d i m i n t a space n i l a i space y a n g space k u r a n g space d a r i space 0 comma space a r t i n y a space d a e r a h space n e g a t i f space left parenthesis 1 less than x less than 9 right parenthesis space y a n g space m e r u p a k a n space h i m p u n a n space p e n y e l e s a i a n space s e p e r t i space p a d a space g a m b a r.

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