f ( x ) = sqrtx - 1 + 2

常见问题解答

• 求逆 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$f^{-1}\left(x\right)=x^2-4x+5$$

• 求导数 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$f^{\prime }\left(x\right)=\frac{1}{2\sqrt{x-1}}$$

• 查找域 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$x\ge 1$$

• $$\text{找到 }x\text{ 截距/零}$$ \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{没有 x 轴截距}$$

• 找到 y 轴截距 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{没有y轴截距}$$

• 找到临界点 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$x=1$$

• 找到局部极值 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{无局部极值}$$

• 查找递增或递减区间 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\begin{array}{rl}& \text{递增区间为}x\ge 1\\ & \text{无递减区间}\end{array}$$

• 查找范围 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$f\left(x\right)\ge 2$$

• 找到垂直渐近线 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{没有垂直渐近线}$$

• 找到水平渐近线 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{没有水平渐近线}$$

• 找到斜渐近线 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{没有斜渐近线}$$

• 确定是偶数、奇数还是两者都不是 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{既不是偶数也不是奇数}$$

• 求驻点 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{没有驻点}$$

• 找到拐点 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{没有拐点}$$

• 测试关于原点的对称性 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{相对于原点不对称}$$

• 测试关于 x 轴的对称性 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{与 x 轴不对称}$$

• 测试关于 y 轴的对称性 \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

  

  $$\text{与 y 轴不对称}$$