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Popular Calculus >

y=(x^2-2x+2)e^x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

Y Intercepts : (0, 2)

Asymptotes : Horizontal y = 0

Extreme Points : Saddle (0, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

(x^{2} - 2 x + 2) e^{x} :

Y Intercepts

: (0, 2)

Asymptotes of

(x^{2} - 2 x + 2) e^{x} :

Horizontal

: y = 0

Extreme Points of

(x^{2} - 2 x + 2) e^{x} :

Saddle

(0, 2)

Graph

Popular Examples

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d er i v a t i v e (x^{3} + 1)^{5}

integral of 4x^3+9x^2y^2+3

\int 4 x^{3} + 9 x^{2} y^{2} + 3 d x

sum from n=1 to infinity of 7-6(0.8)^n

n = 1 \sum \infty 7 - 6 (0.8)^{n}

integral of (1.3)^x

\int (1.3)^{x} d x

integral of e^{2x}+1

\int e^{2 x} + 1 d x

Frequently Asked Questions (FAQ)

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