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Popular >

f(x)=x^4-2x^3-x^2+1

Solution

f (x) = x^{4} - 2 x^{3} - x^{2} + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{71 + 17 17}{32} + 1

X Intercepts : (0.72125 \dots, 0), (2.34859 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (\frac{3 - 17}{4}, \frac{17 17 - 71}{32} + 1), Maximum (0, 1), Minimum (\frac{3 + 17}{4}, - \frac{71 + 17 17}{32} + 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{71 + 17 17}{32} + 1, \infty)

Solution steps

Domain of

x^{4} - 2 x^{3} - x^{2} + 1 : - \infty < x < \infty

Range of

x^{4} - 2 x^{3} - x^{2} + 1 : f (x) \geq - \frac{71 + 17 17}{32} + 1

Axis interception points of

x^{4} - 2 x^{3} - x^{2} + 1 :

X Intercepts

: (0.72125 \dots, 0), (2.34859 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{4} - 2 x^{3} - x^{2} + 1 :

None

Extreme Points of

x^{4} - 2 x^{3} - x^{2} + 1 :

Minimum

(\frac{3 - 17}{4}, \frac{17 17 - 71}{32} + 1),

Maximum

(0, 1),

Minimum

(\frac{3 + 17}{4}, - \frac{71 + 17 17}{32} + 1)

Popular Examples

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f (x) = x^{2} + 3 (- 1.4)

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g (x) = \frac{( ( x + 1 ) ( x + 2 ) )}{( ( x - 1 ) ( x - 2 ) )}

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y = \frac{( x ^{3} )}{( 4 - 7 x ^{2} )}

f(x)=(x^7+1)/(x^7)

f (x) = \frac{x ^{7} + 1}{x ^{7}}

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-2x^3-x^2+1 ?
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