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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 22 or f (x) \geq 22

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x

Extreme Points : Maximum (- 2, - 22), Minimum (2, 22)

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Interval Notation

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

Range : (- \infty, - 22] \cup [22, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 2}{x} : f (x) \leq - 22 or f (x) \geq 22

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x

Extreme Points of

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

Maximum

(- 2, - 22),

Minimum

(2, 22)

Popular Examples

y = \frac{3}{2} x - 6

f(x)=5-3(0.2)^{x-3}

f (x) = 5 - 3 (0.2)^{x - 3}

f (x) = sin (2 x + 3)

y=3sin(x)+4cos(x)

y = 3 sin (x) + 4 cos (x)

y = 8 x + 10

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+2)/x ?
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