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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - 1 < f (x) \leq 2

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

Asymptotes : Horizontal y = 1, y = - 1

Extreme Points : Maximum (1, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- 1, 2]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 1, y = - 1

Extreme Points of

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

Maximum

(1, 2)

Popular Examples

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

y = - 2 x^{2} + 8 x - 20

f (θ) = tan (3 θ)

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

derivative of sin^3(xcos(x))

\frac{d}{d x} (sin^{3} (x) cos (x))

Frequently Asked Questions (FAQ)

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