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Popular >

f(x)=(sqrt(x)-x^3)(5x-x^3)

Solution

f (x) = (x - x^{3}) (5 x - x^{3})

Solution

Domain : x \geq 0

Range : f (x) \geq - 14.53667 \dots

X Intercepts : (0, 0), (1, 0), (5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (0.65290 \dots, 1.58179 \dots), Minimum (1.87045 \dots, - 14.53667 \dots)

+1

Interval Notation

Domain : [0, \infty)

Range : [- 14.53667 \dots, \infty)

Solution steps

Domain of

(x - x^{3}) (5 x - x^{3}) : x \geq 0

Range of

(x - x^{3}) (5 x - x^{3}) : f (x) \geq - 14.53667 \dots

Axis interception points of

(x - x^{3}) (5 x - x^{3}) :

X Intercepts

: (0, 0), (1, 0), (5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(x - x^{3}) (5 x - x^{3}) :

None

Extreme Points of

(x - x^{3}) (5 x - x^{3}) :

Minimum

(0, 0),

Maximum

(0.65290 \dots, 1.58179 \dots),

Minimum

(1.87045 \dots, - 14.53667 \dots)

Popular Examples

y = 100 x - 7

y = 2 x^{2} + 10 x + 12

f (x) = 2^{x + 1} + 1

f(x)=x^{2/3}-2x^{1/3}

f (x) = x^{\frac{2}{3}} - 2 x^{\frac{1}{3}}

y = 2 x^{2} - 4 x + 4

Frequently Asked Questions (FAQ)

What is the f(x)=(sqrt(x)-x^3)(5x-x^3) ?
The f(x)=(sqrt(x)-x^3)(5x-x^3) is