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Popular >

y=(3x^4+1)/(x^3)

Solution

y = \frac{3 x ^{4} + 1}{x ^{3}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 4 or f (x) \geq 4

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = 3 x

Extreme Points : Maximum (- 1, - 4), Minimum (1, 4)

+1

Interval Notation

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

Range : (- \infty, - 4] \cup [4, \infty)

Solution steps

Domain of

\frac{3 x ^{4} + 1}{x ^{3}} : x < 0 or x > 0

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = 3 x

Extreme Points of

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

Maximum

(- 1, - 4),

Minimum

(1, 4)

Popular Examples

y = \frac{3}{4} x - 9

f(x)=(x^2+6x+9)/(x^2-9)

f (x) = \frac{x ^{2} + 6 x + 9}{x ^{2} - 9}

f(x)=x^3-6x^2+9x+3

f (x) = x^{3} - 6 x^{2} + 9 x + 3

f (t) = \frac{1}{e ^{t}}

f(x)=log_{2}(8x^2+80x+200)

f (x) = lo g_{2} (8 x^{2} + 80 x + 200)

Frequently Asked Questions (FAQ)

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