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Popular >

f(x)=(x^2-3)/(e^x)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2 e

X Intercepts : (3, 0), (- 3, 0), Y Intercepts : (0, - 3)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - 2 e), Maximum (3, \frac{6}{e ^{3}})

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Interval Notation

Domain : (- \infty, \infty)

Range : [- 2 e, \infty)

Solution steps

Domain of

\frac{x ^{2} - 3}{e ^{x}} : - \infty < x < \infty

Range of

\frac{x ^{2} - 3}{e ^{x}} : f (x) \geq - 2 e

Axis interception points of

\frac{x ^{2} - 3}{e ^{x}} :

X Intercepts

: (3, 0), (- 3, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

\frac{x ^{2} - 3}{e ^{x}} :

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} - 3}{e ^{x}} :

Minimum

(- 1, - 2 e),

Maximum

(3, \frac{6}{e ^{3}})

Popular Examples

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f (x) = x^{3} e^{- 5 x}

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f (x) = 3 sin (2 x) cos (2 x)

f (x) = x^{2} - x + 72

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-3)/(e^x) ?
The f(x)=(x^2-3)/(e^x) is