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Popular >

y=e^{-x}*(x^3+2x^2+1)

Solution

y = e^{- x} \cdot (x^{3} + 2 x^{2} + 1)

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 10.21986 \dots

X Intercepts : (- 2.20556 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 1.69962 \dots, 10.21986 \dots), Minimum (0.23912 \dots, 0.88812 \dots), Maximum (2.46050 \dots, 2.39133 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

e^{- x} \cdot (x^{3} + 2 x^{2} + 1) : - \infty < x < \infty

Range of

e^{- x} \cdot (x^{3} + 2 x^{2} + 1) : f (x) \leq 10.21986 \dots

Axis interception points of

e^{- x} \cdot (x^{3} + 2 x^{2} + 1) :

X Intercepts

: (- 2.20556 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

e^{- x} \cdot (x^{3} + 2 x^{2} + 1) :

Horizontal

: y = 0

Extreme Points of

e^{- x} \cdot (x^{3} + 2 x^{2} + 1) :

Maximum

(- 1.69962 \dots, 10.21986 \dots),

Minimum

(0.23912 \dots, 0.88812 \dots),

Maximum

(2.46050 \dots, 2.39133 \dots)

Graph

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Frequently Asked Questions (FAQ)

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