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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (4 + 10, 0), (- 4 + 10, 0), (4 - 10, 0), (- 4 - 10, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (- 2, - 5), Maximum (0, 3), Minimum (2, - 5)

+1

Solution steps

Domain of

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

Range of

\frac{1}{2} x^{4} - 4 x^{2} + 3 : f (x) \geq - 5

Axis interception points of

\frac{1}{2} x^{4} - 4 x^{2} + 3 :

X Intercepts

: (4 + 10, 0), (- 4 + 10, 0), (4 - 10, 0), (- 4 - 10, 0),

Y Intercepts

: (0, 3)

Asymptotes of

\frac{1}{2} x^{4} - 4 x^{2} + 3 :

None

Extreme Points of

\frac{1}{2} x^{4} - 4 x^{2} + 3 :

Minimum

(- 2, - 5),

Maximum

(0, 3),

Minimum

(2, - 5)

Popular Examples

f(x)=(10x-20)/(x^2-3x-10)

f (x) = \frac{10 x - 20}{x ^{2} - 3 x - 10}

f(x)=x-sqrt(x)+1

f (x) = x - x + 1

y = (x sin (x))^{3}

f(x)=3x^3-13x^2+23x-18

f (x) = 3 x^{3} - 13 x^{2} + 23 x - 18

f(x)=x(x+1)^{1/2}

f (x) = x (x + 1)^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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