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Popular >

f(x)=x^3e^{-x^3}+sqrt(5)

Solution

f (x) = x^{3} e^{- x^{3}} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{1}{e} + 5

Y Intercepts : (0, 5)

Asymptotes : Horizontal y = 5

Extreme Points : Saddle (0, 5), Maximum (1, \frac{1}{e} + 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x^{3} e^{- x^{3}} + 5 : - \infty < x < \infty

Range of

x^{3} e^{- x^{3}} + 5 : f (x) \leq \frac{1}{e} + 5

Axis interception points of

x^{3} e^{- x^{3}} + 5 :

Y Intercepts

: (0, 5)

Asymptotes of

x^{3} e^{- x^{3}} + 5 :

Horizontal

: y = 5

Extreme Points of

x^{3} e^{- x^{3}} + 5 :

Saddle

(0, 5),

Maximum

(1, \frac{1}{e} + 5)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=x^3e^{-x^3}+sqrt(5) ?
The f(x)=x^3e^{-x^3}+sqrt(5) is