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一些函數的圖像的比較

一些函數的圖像的比較. 你還記得線性函數和二次函數的圖像嗎 ?. y. y. y = – x + 4. y = 2 x + 6. 4. 6. x. x. 0. 0. –3. 4. 線性函數 y = ax + b ( a  0 ). 它們有 1 個 x 軸截距 。. y = x 2 – 6 x + 8. y = x 2 – 5 x + 9. y = – x 2 – 2x – 1. y. y. y. 9. 8. x. 0. –1. –1. x. x. 0. 0. 4. 2.

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一些函數的圖像的比較

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  1. 一些函數的圖像的比較

  2. 你還記得線性函數和二次函數的圖像嗎? y y y = –x + 4 y = 2x + 6 4 6 x x 0 0 –3 4 線性函數 y = ax + b (a 0) 它們有 1個 x 軸截距。

  3. y = x2 – 6x + 8 y = x2 – 5x + 9 y = –x2 – 2x – 1 y y y 9 8 x 0 –1 –1 x x 0 0 4 2 它們有最高點 / 最低點， 二次函數 y = ax2 + bx + c (a 0) 對稱軸 及 0、1 或 2 個 x 軸截距。

  4. y = x3 – 2x2 – 5x + 6 y = x3 + 3x2 – 9x + 5 y = x3 y y y 6 x 0 5 x x 0 –2 1 3 0 1 –5 三次函數 y = ax3 + bx2 + cx + d (a 0) 它們有 1 、2 或 3個 x軸截距。

  5. 沒有 沒有 1 有 有 0、1 或 2 沒有 沒有 1、2 或 3 總結 線性函數 y = ax + b (a 0) 二次函數 y = ax2 + bx + c(a 0) 三次函數 y = ax3 + bx2 + cx + d(a 0)

  6. 試找出下列各圖像的 x軸截距的數目。 y y y x 0 x 0 x 0 2 1 3

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