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

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

Popular >

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

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

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)

Interval Notation

Domain : (- \infty, \infty)

Range : (- 1, 2]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 1, y = - 1

Extreme Points of

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

Maximum

(1, 2)

f (x) = \frac{- 3 x + 9}{x ^{2} + 2 x - 15}

f (x) = - 3 cos (\frac{π}{3} x + \frac{π}{2}) + 2

f (x) = \frac{x + 3}{2 x ^{2} - 6}

f (x) = lo g_{45} (x)

f (x) = csc^{6} (x) - 3 cot^{2} (x) csc^{2} (x) - cot^{6} (x)