Dira M

23 Juli 2024 07:37

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Dira M

23 Juli 2024 07:37

Pertanyaan

himpunan pasangan berurutan yang menunjukkan. fungsi f:x➡️ -(x+1)²+2 dari domain {-1,0,1,2} adalah

himpunan pasangan berurutan yang menunjukkan. fungsi f:x➡️ -(x+1)²+2 dari domain {-1,0,1,2} adalah

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Jawaban terverifikasi

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Rena R

Level 1

23 Juli 2024 08:13

Jawaban terverifikasi

<p>Tinggal masukkan angka2nya ke fungsinya<br>f(x) = -(x+1)² + 2<br><br>x=&nbsp;-1&nbsp;⇒ &nbsp;f(-1) = -(-1+1)²&nbsp;+&nbsp;2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -(0)² + 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -0&nbsp;+ 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2<br><br>x=&nbsp;0&nbsp;⇒ &nbsp;f(0) = -(0+1)²&nbsp;+&nbsp;2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -(1)² + 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -1&nbsp;+ 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 1<br><br>x=&nbsp;1&nbsp;⇒ &nbsp;f(1) = -(1+1)²&nbsp;+&nbsp;2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -(2)² + 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -4&nbsp;+ 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -2<br><br>x=&nbsp;2&nbsp;⇒ &nbsp;f(2) = -(2+1)²&nbsp;+&nbsp;2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -(3)² + 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -9&nbsp;+ 2<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = -7<br><br>jadi f(x)={2, 1, -2, -7}</p>

Tinggal masukkan angka2nya ke fungsinya
f(x) = -(x+1)² + 2

x= -1 ⇒  f(-1) = -(-1+1)² + 2
                    = -(0)² + 2
                    = -0 + 2
                    = 2

x= 0 ⇒  f(0) = -(0+1)² + 2
                    = -(1)² + 2
                    = -1 + 2
                    = 1

x= 1 ⇒  f(1) = -(1+1)² + 2
                    = -(2)² + 2
                    = -4 + 2
                    = -2

x= 2 ⇒  f(2) = -(2+1)² + 2
                    = -(3)² + 2
                    = -9 + 2
                    = -7

jadi f(x)={2, 1, -2, -7}


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