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受欢迎的函数 >

f(x)=-1/40 x^2+7/4 x,0<= x<= 120

解答

f (x) = - \frac{1}{40} x^{2} + \frac{7}{4} x, 0 \leq x \leq 120

解答

Domain : 0 \leq x \leq 120

Range : - 150 \leq f (x) \leq \frac{245}{8}

X 截距 : (0, 0), (70, 0), Y 截距 : (0, 0)

Vertex : 极大值 (35, \frac{245}{8})

Inverse : - \frac{- 70 + 4900 - 160 x}{2}, - \frac{- 70 - 4900 - 160 x}{2}

+1

间隔符号

Domain : [0, 120]

Range : [- 150, \frac{245}{8}]

求解步骤

- \frac{1}{40} x^{2} + \frac{7}{4} x, 0 \leq x \leq 120

的定义域

: 0 \leq x \leq 120

- \frac{1}{40} x^{2} + \frac{7}{4} x, 0 \leq x \leq 120

的值域:

- 150 \leq f (x) \leq \frac{245}{8}

- \frac{1}{40} x^{2} + \frac{7}{4} x, 0 \leq x \leq 120

的轴截距点

:

X 截距

: (0, 0), (70, 0),

Y 截距

: (0, 0)

- \frac{1}{40} x^{2} + \frac{7}{4} x, 0 \leq x \leq 120

的顶点:

极大值

(35, \frac{245}{8})

- \frac{1}{40} x^{2} + \frac{7}{4} x, 0 \leq x \leq 120

的反函数:

- \frac{- 70 + 4900 - 160 x}{2}, - \frac{- 70 - 4900 - 160 x}{2}

作图

流行的例子

f (m) = 1 - m

f(x)=(x-2)/(x^2+4x-5)

f (x) = \frac{x - 2}{x ^{2} + 4 x - 5}

g(x)=x^2+15x+54

g (x) = x^{2} + 15 x + 54

f (1) = 3 x - 4

f(a)= 1/(a^{1/2)}

f (a) = \frac{1}{a ^{\frac{1}{2}}}