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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Saddle (1, \frac{e}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

\frac{e ^{x}}{1 + x ^{2}} : f (x) > 0

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Saddle

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

Popular Examples

f(x)=((x^2-5)^3)/(125)

f (x) = \frac{( x ^{2} - 5 ) ^{3}}{125}

y = 64 - x^{3}

f(x)=-2x^2+9x-9

f (x) = - 2 x^{2} + 9 x - 9

f(n)=(n+1)^{2n}

f (n) = (n + 1)^{2 n}

y=(x^2)/(sqrt(1-x)),(-3, 9/2)

y = \frac{x ^{2}}{1 - x}, (- 3, \frac{9}{2})

Frequently Asked Questions (FAQ)

What is the y=(e^x)/(1+x^2) ?
The y=(e^x)/(1+x^2) is