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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

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

Asymptotes : Horizontal y = 1

Extreme Points : Maximum (- 1, 2), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Domain of

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

Range of

\frac{x ^{2} - 2 x + 1}{x ^{2} + 1} : 0 \leq f (x) \leq 2

Axis interception points of

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

X Intercepts

: (1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Maximum

(- 1, 2),

Minimum

(1, 0)

Popular Examples

y = 7 e^{x}

F(X)=2(X^2+10X+24)

F (X) = 2 (X^{2} + 10 X + 24)

f(x)=e^{3x^2+2x}

f (x) = e^{3 x^{2} + 2 x}

f(x)=2x+3\sqrt[3]{x^2}

f(x)=sqrt(-x)+1

f (x) = - x + 1

Frequently Asked Questions (FAQ)

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