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Popular >

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

Solution

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

Solution

Domain : - \infty < y < \infty

Range : - 1 \leq f (y) \leq \frac{1}{3}

X Intercepts : (1, 0), Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, - 1), Maximum (2, \frac{1}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \frac{1}{3}]

Solution steps

Domain of

\frac{y - 1}{y ^{2} - y + 1} : - \infty < y < \infty

Range of

\frac{y - 1}{y ^{2} - y + 1} : - 1 \leq f (y) \leq \frac{1}{3}

Axis interception points of

\frac{y - 1}{y ^{2} - y + 1} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{y - 1}{y ^{2} - y + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{y - 1}{y ^{2} - y + 1} :

Minimum

(0, - 1),

Maximum

(2, \frac{1}{3})

Popular Examples

integral of (x+1)sqrt(4x+5)

\int (x + 1) 4 x + 5 d x

(\partial)/(\partial x)(sin(x^2+y^2))

\frac{\partial}{\partial x} (sin (x^{2} + y^{2}))

integral of cos(15x)

\int cos (15 x) d x

derivative of ln(1/(sqrt(1-x^2)))

\frac{d}{d x} (ln (\frac{1}{1 - x ^{2}}))

limit as x approaches-5-of 3

x \to - 5 - lim (3)

Frequently Asked Questions (FAQ)

What is the f(y)=(y-1)/(y^2-y+1) ?
The f(y)=(y-1)/(y^2-y+1) is