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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

Interval Notation

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

Range : [- \frac{5}{4}, \infty)

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

factor x^2-7x+10 factor

x^{2} - 7 x + 10

y = e^{x} + 4

f(x)=9x^3-4x^2+7x+3

f (x) = 9 x^{3} - 4 x^{2} + 7 x + 3

f(x)=(2x-8)/(4x-3)

f (x) = \frac{2 x - 8}{4 x - 3}

f(t)=e^{3t}cos(4t)

f (t) = e^{3 t} cos (4 t)

Frequently Asked Questions (FAQ)

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