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Popular >

f(x)=x^4-3x^2-1

Solution

f (x) = x^{4} - 3 x^{2} - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{13}{4}

X Intercepts : \frac{3 + 13}{2}, 0, - \frac{3 + 13}{2}, 0, Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2}, - \frac{13}{4}), Maximum (0, - 1), Minimum (\frac{3}{2}, - \frac{13}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{13}{4}, \infty)

Solution steps

Domain of

x^{4} - 3 x^{2} - 1 : - \infty < x < \infty

Range of

x^{4} - 3 x^{2} - 1 : f (x) \geq - \frac{13}{4}

Axis interception points of

x^{4} - 3 x^{2} - 1 :

X Intercepts

: \frac{3 + 13}{2}, 0, - \frac{3 + 13}{2}, 0,

Y Intercepts

: (0, - 1)

Asymptotes of

x^{4} - 3 x^{2} - 1 :

None

Extreme Points of

x^{4} - 3 x^{2} - 1 :

Minimum

(- \frac{3}{2}, - \frac{13}{4}),

Maximum

(0, - 1),

Minimum

(\frac{3}{2}, - \frac{13}{4})

Popular Examples

f(x)=2x^3+3x^2+6x+4

f (x) = 2 x^{3} + 3 x^{2} + 6 x + 4

f(x)=5\sqrt[4]{x}

domain of x^2,-pi<= x<= pi domain

x^{2}, - π \leq x \leq π

f(x)=x^3-5x^2+11x-15

f (x) = x^{3} - 5 x^{2} + 11 x - 15

f (x) = 0

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-3x^2-1 ?
The f(x)=x^4-3x^2-1 is