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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

Asymptotes : Slant y = 2 x

Extreme Points : Maximum (0, 4), Minimum (1, 3)

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

Y Intercepts

: (0, 4)

Asymptotes of

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

Slant

: y = 2 x

Extreme Points of

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

Maximum

(0, 4),

Minimum

(1, 3)

Popular Examples

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

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y = \frac{8 x}{x ^{2} + 4}

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f (x) = 4 sin (3) (x - \frac{π}{3})

Frequently Asked Questions (FAQ)

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