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

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

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

Domain : x < 0 or x > 0

Range : f (x) \geq - \frac{1}{8}

X Intercepts : (- 2, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (- 4, - \frac{1}{8})

Interval Notation

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

Range : [- \frac{1}{8}, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 2}{x ^{2}} : f (x) \geq - \frac{1}{8}

Axis interception points of

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

X Intercepts

: (- 2, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 4, - \frac{1}{8})

36 y^{^{''}} - y = 0, y (- 6) = 1, y^{^{'}} (- 6) = - 1

x \to - 5 lim (- 6 x)

(2 x y - 3 x^{2}) d x + (x^{2} + y) d y = 0

\frac{\partial}{\partial y} (cos (x y))

\int_{0}^{3} 1 + x^{4} d x