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Popular >

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

Solution

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

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 = x

Extreme Points : Maximum (- 2, - 4), Minimum (2, 4)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 4}{x} : f (x) \leq - 4 or f (x) \geq 4

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x

Extreme Points of

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

Maximum

(- 2, - 4),

Minimum

(2, 4)

Graph

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\frac{d}{d x} (x^{2} + 5 x - 2)

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Frequently Asked Questions (FAQ)

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