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Popular >

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

Solution

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

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Saddle

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

Popular Examples

f (x) = - 14 x + 3

f(x)=((-1))/((x^2-36))

f (x) = \frac{( - 1 )}{( x ^{2} - 36 )}

f(x)=sin^2(x^5)

f (x) = sin^{2} (x^{5})

y = x^{4} - 4 x^{2} + 1

f (t) = 1 0^{t}

Frequently Asked Questions (FAQ)

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