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Popular >

f(x)=x^4-x^3+5

Solution

f (x) = x^{4} - x^{3} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{27}{256} + 5

Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Saddle (0, 5), Minimum (\frac{3}{4}, - \frac{27}{256} + 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{27}{256} + 5, \infty)

Solution steps

Domain of

x^{4} - x^{3} + 5 : - \infty < x < \infty

Range of

x^{4} - x^{3} + 5 : f (x) \geq - \frac{27}{256} + 5

Axis interception points of

x^{4} - x^{3} + 5 :

Y Intercepts

: (0, 5)

Asymptotes of

x^{4} - x^{3} + 5 :

None

Extreme Points of

x^{4} - x^{3} + 5 :

Saddle

(0, 5),

Minimum

(\frac{3}{4}, - \frac{27}{256} + 5)

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Frequently Asked Questions (FAQ)

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