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Popular >

h(x)=sqrt(x^{(3))-4x}

Solution

h (x) = x^{(3)} - 4 x

Solution

Domain : - 2 \leq x \leq 0 or x \geq 2

Range : f (x) \geq 0

X Intercepts : (0, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (- \frac{2}{3}, \frac{4}{3 ^{\frac{3}{4}}}), Minimum (0, 0), Minimum (2, 0)

+1

Interval Notation

Domain : [- 2, 0] \cup [2, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{3} - 4 x : - 2 \leq x \leq 0 or x \geq 2

Range of

x^{3} - 4 x : f (x) \geq 0

Axis interception points of

x^{3} - 4 x :

X Intercepts

: (0, 0), (- 2, 0), (2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} - 4 x :

None

Extreme Points of

x^{3} - 4 x :

Minimum

(- 2, 0),

Maximum

(- \frac{2}{3}, \frac{4}{3 ^{\frac{3}{4}}}),

Minimum

(0, 0),

Minimum

(2, 0)

Popular Examples

f(x)=(1-2x)/(x^2-9)

f (x) = \frac{1 - 2 x}{x ^{2} - 9}

f(x)=(-4)/(-x-2)

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

f(x)=4x(x^2+12x-45)

f (x) = 4 x (x^{2} + 12 x - 45)

f (x) = - 4 x^{2} + 7

f(x)=(x^2-x-30)/(x^2-25)

f (x) = \frac{x ^{2} - x - 30}{x ^{2} - 25}

Frequently Asked Questions (FAQ)

What is the h(x)=sqrt(x^{(3))-4x} ?
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