Riani S
02 Agustus 2022 06:29
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Riani S
02 Agustus 2022 06:29
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Gambarlah grafik dari fungsi eksponen berikut, dalam satu gambar. b) f(x) = 2^(x) dan g(x) = (2^(x + 1) - 3)
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Y. Endriska
04 November 2022 11:45
<p>Jawaban: Terlampir pada gambar</p><p> </p><p>Ingat konsep berikut ini:</p><p>Untuk menggambar grafik maka tentukan terlebih dahulu titik potongnya.</p><p> </p><p>f(x) = 2<sup>x</sup></p><p>y = 2<sup>x</sup></p><p>x = -3 --> y = 2<sup>-3</sup> = (1/2)<sup>3</sup> = (1/8) </p><p>x = -2 --> y = 2<sup>-2</sup> = (1/2)<sup>2</sup> = (1/4)</p><p>x = -1 --> y = 2<sup>-1</sup> = (1/2)<sup>1</sup> = (1/2)</p><p>x = 0 --> y = 2<sup>0</sup> = 1</p><p>x = 1 --> y = 2<sup>1</sup> = 2</p><p>x = 2 --> y = 2<sup>2</sup> = 4</p><p>x = 3 --> y = 2<sup>3</sup> = 8</p><p> </p><p>g(x) = 2<sup>x+1</sup> - 3</p><p>y = 2<sup>x+1</sup> - 3</p><p>x = -3 --> y = 2<sup>-3+1</sup> - 3 = 2<sup>-2</sup> - 3 = (1/2)<sup>2</sup> - 3 = (1/4) - (12/4) = -(11/4)</p><p>x = -2 --> y = 2<sup>-2+1</sup> - 3 = 2<sup>-1</sup> - 3 = (1/2) - 3 = (1/2) - (6/2) = -(5/2)</p><p>x = -1 --> y = 2<sup>-1+1</sup> - 3 = 2<sup>0</sup> - 3 = 1 - 3 = -2</p><p>x = 0 --> y = 2<sup>0+1</sup> - 3 = 2<sup>1</sup> - 3 = 2 - 3 = -1</p><p>x = 1 --> y = 2<sup>1+1</sup> - 3 = 2<sup>2</sup> - 3 = 4 - 3 = 1</p><p>x = 2 --> y = 2<sup>2+1</sup> - 3 = 2<sup>3</sup> - 3 = 8 - 3 = 5</p><p>x = 3 --> y = 2<sup>3+1</sup> - 3 = 2<sup>4</sup> - 3 = 13</p><p> </p><p>Jadi, grafik f(x) = 2<sup>x </sup>dan g(x) = 2<sup>x+1</sup> - 3 terlampir di bawah ini.</p>
Jawaban: Terlampir pada gambar
Ingat konsep berikut ini:
Untuk menggambar grafik maka tentukan terlebih dahulu titik potongnya.
f(x) = 2x
y = 2x
x = -3 --> y = 2-3 = (1/2)3 = (1/8)
x = -2 --> y = 2-2 = (1/2)2 = (1/4)
x = -1 --> y = 2-1 = (1/2)1 = (1/2)
x = 0 --> y = 20 = 1
x = 1 --> y = 21 = 2
x = 2 --> y = 22 = 4
x = 3 --> y = 23 = 8
g(x) = 2x+1 - 3
y = 2x+1 - 3
x = -3 --> y = 2-3+1 - 3 = 2-2 - 3 = (1/2)2 - 3 = (1/4) - (12/4) = -(11/4)
x = -2 --> y = 2-2+1 - 3 = 2-1 - 3 = (1/2) - 3 = (1/2) - (6/2) = -(5/2)
x = -1 --> y = 2-1+1 - 3 = 20 - 3 = 1 - 3 = -2
x = 0 --> y = 20+1 - 3 = 21 - 3 = 2 - 3 = -1
x = 1 --> y = 21+1 - 3 = 22 - 3 = 4 - 3 = 1
x = 2 --> y = 22+1 - 3 = 23 - 3 = 8 - 3 = 5
x = 3 --> y = 23+1 - 3 = 24 - 3 = 13
Jadi, grafik f(x) = 2x dan g(x) = 2x+1 - 3 terlampir di bawah ini.
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