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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq 0

X Intercepts : (- 2, 0)

Asymptotes : Vertical x = 0, Horizontal y = 2

Extreme Points : Minimum (- 2, 0)

+1

Interval Notation

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

Range : [0, \infty)

Solution steps

Domain of

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

Range of

\frac{2 ( x + 2 ) ^{2}}{x ^{2}} : f (x) \geq 0

Axis interception points of

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

X Intercepts

: (- 2, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 2

Extreme Points of

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

Minimum

(- 2, 0)

Popular Examples

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

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

f(x)=(3sqrt(x^2-9))/(x-1)

f (x) = \frac{3 x ^{2} - 9}{x - 1}

y=(2x^2+x-1)/(x^2+x-2)

y = \frac{2 x ^{2} + x - 1}{x ^{2} + x - 2}

y = - x + 1

y=(x-x^2)/(2-3x+x^2)

y = \frac{x - x ^{2}}{2 - 3 x + x ^{2}}

Frequently Asked Questions (FAQ)

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