What is the f(x)=(x^3+7)/x ?

f(x)=(x^3+7)/x

f (x) = \frac{x ^{3} + 7}{x}

Domain : x < 0 or x > 0

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

X Intercepts : (- 37, 0)

Asymptotes : Vertical x = 0

Extreme Points : Minimum (3 \frac{7}{2}, \frac{3 \cdot 7 ^{\frac{2}{3}}}{2 ^{\frac{2}{3}}})

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 7}{x} : x < 0 or x > 0

Range of

\frac{x ^{3} + 7}{x} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 7}{x} :

X Intercepts

: (- 37, 0)

Asymptotes of

\frac{x ^{3} + 7}{x} :

Vertical

: x = 0

Extreme Points of

\frac{x ^{3} + 7}{x} :

Minimum

(3 \frac{7}{2}, \frac{3 \cdot 7 ^{\frac{2}{3}}}{2 ^{\frac{2}{3}}})

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