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Popular >

f(x)=(x^2-2x-35)e^{-0.12x}

Solution

f (x) = (x^{2} - 2 x - 35) e^{- 0.12 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 36.08571 \dots

X Intercepts : (7, 0), (- 5, 0), Y Intercepts : (0, - 35)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (\frac{28 - 949}{3}, - 36.08571 \dots), Maximum (\frac{28 + 949}{3}, 29.50156 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 36.08571 \dots, \infty)

Solution steps

Domain of

(x^{2} - 2 x - 35) e^{- 0.12 x} : - \infty < x < \infty

Range of

(x^{2} - 2 x - 35) e^{- 0.12 x} : f (x) \geq - 36.08571 \dots

Axis interception points of

(x^{2} - 2 x - 35) e^{- 0.12 x} :

X Intercepts

: (7, 0), (- 5, 0),

Y Intercepts

: (0, - 35)

Asymptotes of

(x^{2} - 2 x - 35) e^{- 0.12 x} :

Horizontal

: y = 0

Extreme Points of

(x^{2} - 2 x - 35) e^{- 0.12 x} :

Minimum

(\frac{28 - 949}{3}, - 36.08571 \dots),

Maximum

(\frac{28 + 949}{3}, 29.50156 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-2x-35)e^{-0.12x} ?
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