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Popular Functions >

h(x)=x^4-18x^2+81

Solution

h (x) = x^{4} - 18 x^{2} + 81

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (3, 0), (- 3, 0), Y Intercepts : (0, 81)

Asymptotes : None

Extreme Points : Minimum (- 3, 0), Maximum (0, 81), Minimum (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{4} - 18 x^{2} + 81 : - \infty < x < \infty

Range of

x^{4} - 18 x^{2} + 81 : f (x) \geq 0

Axis interception points of

x^{4} - 18 x^{2} + 81 :

X Intercepts

: (3, 0), (- 3, 0),

Y Intercepts

: (0, 81)

Asymptotes of

x^{4} - 18 x^{2} + 81 :

None

Extreme Points of

x^{4} - 18 x^{2} + 81 :

Minimum

(- 3, 0),

Maximum

(0, 81),

Minimum

(3, 0)

Graph

Popular Examples

g(z)=sqrt(-10z-5)

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

f(x)=x^4+12x^2-8

f(x)=\sqrt[3]{x^4}-4\sqrt[3]{x}

y=2-(sqrt(2x-x^2+3))/2

Frequently Asked Questions (FAQ)

What is the h(x)=x^4-18x^2+81 ?
The h(x)=x^4-18x^2+81 is