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Popular >

y=x^2e^{3x}

Solution

y = x^{2} e^{3 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- \frac{2}{3}, \frac{4}{9 e ^{2}}), Minimum (0, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

x^{2} e^{3 x} : f (x) > 0

Axis interception points of

x^{2} e^{3 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} e^{3 x} :

Horizontal

: y = 0

Extreme Points of

x^{2} e^{3 x} :

Maximum

(- \frac{2}{3}, \frac{4}{9 e ^{2}}),

Minimum

(0, 0)

Popular Examples

f(x)=(sqrt(x-2))/(x^2-9)

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

f(x)=|-x|^{1/2}

f (x) = ∣ - x ∣^{\frac{1}{2}}

f (w) = \frac{w}{9}

y = - 5 sin (x)

f (x) = 5 tan (x)

Frequently Asked Questions (FAQ)

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