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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - e + 2

X Intercepts : (0, 0), (W_{0} (- \frac{2}{e ^{2}}) + 2, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 2

Extreme Points : Minimum (1, - e + 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- e + 2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (W_{0} (- \frac{2}{e ^{2}}) + 2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 2

Extreme Points of

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

Minimum

(1, - e + 2)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x-2)e^x+2 ?
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