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Popular Functions >

f(x)=(4x^2-x)/(x^2)

Solution

f (x) = \frac{4 x ^{2} - x}{x ^{2}}

Solution

Domain : x < 0 or x > 0

Range : f (x) < 4 or f (x) > 4

X Intercepts : (\frac{1}{4}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 4

Extreme Points : None

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Interval Notation

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

Range : (- \infty, 4) \cup (4, \infty)

Solution steps

Domain of

\frac{4 x ^{2} - x}{x ^{2}} : x < 0 or x > 0

Range of

\frac{4 x ^{2} - x}{x ^{2}} : f (x) < 4 or f (x) > 4

Axis interception points of

\frac{4 x ^{2} - x}{x ^{2}} :

X Intercepts

: (\frac{1}{4}, 0)

Asymptotes of

\frac{4 x ^{2} - x}{x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = 4

Extreme Points of

\frac{4 x ^{2} - x}{x ^{2}} :

None

Graph

Popular Examples

f(x)=sqrt(x^2+6x+2)-sqrt(x^2-4x+1)

f(t)=100^{t^2-0.5t}

f(x)=sqrt(x^2-7x+10)+sqrt(x)

Frequently Asked Questions (FAQ)

What is the f(x)=(4x^2-x)/(x^2) ?
The f(x)=(4x^2-x)/(x^2) is