What is the f(x)=(x-1)/(x^2) ?

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

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

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{1}{4}

X Intercepts : (1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (2, \frac{1}{4})

Interval Notation

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

Range : (- \infty, \frac{1}{4}]

Solution steps

Domain of

\frac{x - 1}{x ^{2}} : x < 0 or x > 0

Range of

\frac{x - 1}{x ^{2}} : f (x) \leq \frac{1}{4}

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(2, \frac{1}{4})

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