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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - e

X Intercepts : (0, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - e), Maximum (\frac{3}{2}, \frac{9}{e ^{\frac{3}{2}}})

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 1, - e),

Maximum

(\frac{3}{2}, \frac{9}{e ^{\frac{3}{2}}})

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Frequently Asked Questions (FAQ)

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