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Popular >

y=((x^2-3x+1))/(x^2)

Solution

y = \frac{( x ^{2} - 3 x + 1 )}{x ^{2}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq - \frac{5}{4}

X Intercepts : (\frac{3 + 5}{2}, 0), (\frac{3 - 5}{2}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 1

Extreme Points : Minimum (\frac{2}{3}, - \frac{5}{4})

+1

Solution steps

Domain of

\frac{x ^{2} - 3 x + 1}{x ^{2}} : x < 0 or x > 0

Range of

\frac{x ^{2} - 3 x + 1}{x ^{2}} : f (x) \geq - \frac{5}{4}

Axis interception points of

\frac{x ^{2} - 3 x + 1}{x ^{2}} :

X Intercepts

: (\frac{3 + 5}{2}, 0), (\frac{3 - 5}{2}, 0)

Asymptotes of

\frac{x ^{2} - 3 x + 1}{x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 3 x + 1}{x ^{2}} :

Minimum

(\frac{2}{3}, - \frac{5}{4})

Popular Examples

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f (y) = ∣ y ∣

y=(2x^2+5x+2)/(x^2-4x+3)

y = \frac{2 x ^{2} + 5 x + 2}{x ^{2} - 4 x + 3}

f(x)=-5x(2x-5)^2

f (x) = - 5 x (2 x - 5)^{2}

f(x)=x^4+x^3+x^2+1

f (x) = x^{4} + x^{3} + x^{2} + 1

Frequently Asked Questions (FAQ)

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