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受欢迎的函数 >

y=5x*log_{10}(x)

解答

y = 5 x \cdot lo g_{10} (x)

解答

Domain : x > 0

Range : f (x) \geq \frac{5 ^{\frac{l n ( 10 ) - 1}{l n ( 10 )}} lo g _{10} ( \frac{1}{1 0 ^{\frac{1}{l n ( 10 )}}} )}{2 ^{\frac{1}{l n ( 10 )}}}

X 截距 : (1, 0)

Asymptotes : 无

Extreme Points : 极小值 \frac{1}{1 0 ^{\frac{1}{l n ( 10 )}}}, \frac{5 ^{\frac{l n ( 10 ) - 1}{l n ( 10 )}} lo g _{10} ( \frac{1}{1 0 ^{\frac{1}{l n ( 10 )}}} )}{2 ^{\frac{1}{l n ( 10 )}}}

+1

间隔符号

Domain : (0, \infty)

Range : \frac{5 ^{\frac{l n ( 10 ) - 1}{l n ( 10 )}} lo g _{10} ( \frac{1}{1 0 ^{\frac{1}{l n ( 10 )}}} )}{2 ^{\frac{1}{l n ( 10 )}}}, \infty

求解步骤

5 x \cdot lo g_{10} (x)

的定义域

: x > 0

5 x \cdot lo g_{10} (x)

的值域:

f (x) \geq \frac{5 ^{\frac{l n ( 10 ) - 1}{l n ( 10 )}} lo g _{10} ( \frac{1}{1 0 ^{\frac{1}{l n ( 10 )}}} )}{2 ^{\frac{1}{l n ( 10 )}}}

5 x \cdot lo g_{10} (x)

的轴截距点

:

X 截距

: (1, 0)

5 x \cdot lo g_{10} (x)

的渐近线

:

无

5 x \cdot lo g_{10} (x)

的极值点:

极小值

\frac{1}{1 0 ^{\frac{1}{l n ( 10 )}}}, \frac{5 ^{\frac{l n ( 10 ) - 1}{l n ( 10 )}} lo g _{10} ( \frac{1}{1 0 ^{\frac{1}{l n ( 10 )}}} )}{2 ^{\frac{1}{l n ( 10 )}}}

作图

流行的例子

f (y) = y^{2} + 3 y - 8

f (x) = 3 - 7 x + 5 x^{2}

f (x) = (2 x + x^{2}) 4

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