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Popular >

f(x)=x+3(1-x)^{1/3}

Solution

f (x) = x + 3 (1 - x)^{\frac{1}{3}}

Solution

Domain : - \infty < x < \infty

X Intercepts : (1.04188 \dots, 0), (4.59626 \dots, 0), (- 5.63815 \dots, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (0, 3), Maximum (2, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x + 3 (1 - x)^{\frac{1}{3}} : - \infty < x < \infty

Axis interception points of

x + 3 (1 - x)^{\frac{1}{3}} :

X Intercepts

: (1.04188 \dots, 0), (4.59626 \dots, 0), (- 5.63815 \dots, 0),

Y Intercepts

: (0, 3)

Asymptotes of

x + 3 (1 - x)^{\frac{1}{3}} :

None

Extreme Points of

x + 3 (1 - x)^{\frac{1}{3}} :

Minimum

(0, 3),

Maximum

(2, - 1)

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Frequently Asked Questions (FAQ)

What is the f(x)=x+3(1-x)^{1/3} ?
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