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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2} + \frac{1}{2}, \frac{1}{2} + \frac{1}{2}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

(2 - 1, \frac{2 + 1}{2})

Popular Examples

f(x)=3x^2-24x+53

f (x) = 3 x^{2} - 24 x + 53

f(x)=(4x-9)/(2x+3)

f (x) = \frac{4 x - 9}{2 x + 3}

y = \frac{7 - 4 x}{3}

f(x)=(2x+5)/(x+1)

f (x) = \frac{2 x + 5}{x + 1}

f(x)=2sin^3(x)+3sin(x)-1

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

Frequently Asked Questions (FAQ)

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