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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq 2

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (- 1, 2), Minimum (1, 2)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{3 x ^{4} + 3}{3 x ^{2}} : x < 0 or x > 0

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

Minimum

(- 1, 2),

Minimum

(1, 2)

Graph

Popular Examples

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

f(x)=x^4-4x^3+5

f (x) = x^{4} - 4 x^{3} + 5

y=2cos(1/2 x)-1

y = 2 cos (\frac{1}{2} x) - 1

f(x)=log_{10}(15-4x^2)

f (x) = lo g_{10} (15 - 4 x^{2})

y = - 4.9 x^{2} + 48 x

Frequently Asked Questions (FAQ)

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