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Popular >

y=x^4-8x^2+16

Solution

y = x^{4} - 8 x^{2} + 16

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, 16)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (0, 16), Minimum (2, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{4} - 8 x^{2} + 16 : - \infty < x < \infty

Range of

x^{4} - 8 x^{2} + 16 : f (x) \geq 0

Axis interception points of

x^{4} - 8 x^{2} + 16 :

X Intercepts

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

Y Intercepts

: (0, 16)

Asymptotes of

x^{4} - 8 x^{2} + 16 :

None

Extreme Points of

x^{4} - 8 x^{2} + 16 :

Minimum

(- 2, 0),

Maximum

(0, 16),

Minimum

(2, 0)

Popular Examples

f (x) = x^{4} - 5

f (x) = 5 x^{2} - 8 x + 5

f(x)=cos^4(x)sin^4(x)

f (x) = cos^{4} (x) sin^{4} (x)

f(x)=x^3-3x^2+10

f (x) = x^{3} - 3 x^{2} + 10

f (m) = 16 m^{2} - 9

Frequently Asked Questions (FAQ)

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