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Popular >

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

Solution

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

Extreme Points : Maximum (- \frac{1}{2}, - 22), Minimum (\frac{1}{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{2 x ^{2} + 1}{x} : x < 0 or x > 0

Range of

\frac{2 x ^{2} + 1}{x} : f (x) \leq - 22 or f (x) \geq 22

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = 2 x

Extreme Points of

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

Maximum

(- \frac{1}{2}, - 22),

Minimum

(\frac{1}{2}, 22)

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f(x)=log_{10}(2)x^2

f (x) = lo g_{10} (2) x^{2}

Frequently Asked Questions (FAQ)

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