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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) < 1

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

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (0, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Horizontal

: y = 1

Extreme Points of

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

Minimum

(0, - 1)

Popular Examples

f (x) = 4 x^{2} - 4 x - 5

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

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

f(x)=(x-3)/(2x^2+10x)

f (x) = \frac{x - 3}{2 x ^{2} + 10 x}

f (x) = (2 x - 1)^{2}

y=3cos(2(x+pi/2))+1

y = 3 cos (2 (x + \frac{π}{2})) + 1

Frequently Asked Questions (FAQ)

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