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Popular >

y=x^2*e^x

Solution

y = x^{2} \cdot e^{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 (- 2, \frac{4}{e ^{2}}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} \cdot e^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} \cdot e^{x} :

Horizontal

: y = 0

Extreme Points of

x^{2} \cdot e^{x} :

Maximum

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

Minimum

(0, 0)

Graph

Popular Examples

y = - \frac{3}{5} x - 1

y = - \frac{3}{5} x + 1

f (x) = 5 x^{2} + 4 x - 5

f (x) = 10 x - 7

f (x) = x^{2} - 2 x + 11

Frequently Asked Questions (FAQ)

What is the y=x^2*e^x ?
The y=x^2*e^x is