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Popular >

f(x)=x^4-10x^2+9

Solution

f (x) = x^{4} - 10 x^{2} + 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 16

X Intercepts : (3, 0), (- 3, 0), (1, 0), (- 1, 0), Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Minimum (- 5, - 16), Maximum (0, 9), Minimum (5, - 16)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 16, \infty)

Solution steps

Domain of

x^{4} - 10 x^{2} + 9 : - \infty < x < \infty

Range of

x^{4} - 10 x^{2} + 9 : f (x) \geq - 16

Axis interception points of

x^{4} - 10 x^{2} + 9 :

X Intercepts

: (3, 0), (- 3, 0), (1, 0), (- 1, 0),

Y Intercepts

: (0, 9)

Asymptotes of

x^{4} - 10 x^{2} + 9 :

None

Extreme Points of

x^{4} - 10 x^{2} + 9 :

Minimum

(- 5, - 16),

Maximum

(0, 9),

Minimum

(5, - 16)

Popular Examples

f(x)=sqrt(x-12)

f (x) = x - 12

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

f (x) = lo g_{5} (x - 3)

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

y=log_{10}(x+1)

y = lo g_{10} (x + 1)

f(x)=-2x^3+3x^2

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

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-10x^2+9 ?
The f(x)=x^4-10x^2+9 is