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Popular >

y=x^4-8x^2+3

Solution

y = x^{4} - 8 x^{2} + 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 13

X Intercepts : (4 + 13, 0), (- 4 + 13, 0), (4 - 13, 0), (- 4 - 13, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (- 2, - 13), Maximum (0, 3), Minimum (2, - 13)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 13, \infty)

Solution steps

Domain of

x^{4} - 8 x^{2} + 3 : - \infty < x < \infty

Range of

x^{4} - 8 x^{2} + 3 : f (x) \geq - 13

Axis interception points of

x^{4} - 8 x^{2} + 3 :

X Intercepts

: (4 + 13, 0), (- 4 + 13, 0), (4 - 13, 0), (- 4 - 13, 0),

Y Intercepts

: (0, 3)

Asymptotes of

x^{4} - 8 x^{2} + 3 :

None

Extreme Points of

x^{4} - 8 x^{2} + 3 :

Minimum

(- 2, - 13),

Maximum

(0, 3),

Minimum

(2, - 13)

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Frequently Asked Questions (FAQ)

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