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Popular >

f(x)=(5x^2+3x-2)/(x^3-4)

Solution

f (x) = \frac{5 x ^{2} + 3 x - 2}{x ^{3} - 4}

Solution

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{2}{5}, 0), (- 1, 0), Y Intercepts : (0, \frac{1}{2})

Extreme Points : Minimum (- 2.65694 \dots, - 1.11291 \dots), Maximum (- 0.28515 \dots, 0.60869 \dots)

+1

Solution steps

Domain of

Range of

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

Axis interception points of

\frac{5 x ^{2} + 3 x - 2}{x ^{3} - 4} :

X Intercepts

: (\frac{2}{5}, 0), (- 1, 0),

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{5 x ^{2} + 3 x - 2}{x ^{3} - 4} :

Vertical

Horizontal

: y = 0

Extreme Points of

\frac{5 x ^{2} + 3 x - 2}{x ^{3} - 4} :

Minimum

(- 2.65694 \dots, - 1.11291 \dots),

Maximum

(- 0.28515 \dots, 0.60869 \dots)

Popular Examples

f(x)=(2x)/(x^2+5)

f (x) = \frac{2 x}{x ^{2} + 5}

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

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

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

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

f(x)=(2x-6)/(x-4)+1

f (x) = \frac{2 x - 6}{x - 4} + 1

y=-(x-1)^3(x+3)^2

y = - (x - 1)^{3} (x + 3)^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=(5x^2+3x-2)/(x^3-4) ?
The f(x)=(5x^2+3x-2)/(x^3-4) is