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Popular Calculus >

y=(x^3+1)(x^2-2)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (- 1, 0), (- 2, 0), (2, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Maximum (- 1.23451 \dots, 0.41953 \dots), Minimum (0, - 2), Maximum (0.37853 \dots, - 1.95741 \dots), Minimum (0.85597 \dots, - 2.06211 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

(x^{3} + 1) (x^{2} - 2) : - \infty < f (x) < \infty

Axis interception points of

(x^{3} + 1) (x^{2} - 2) :

X Intercepts

: (- 1, 0), (- 2, 0), (2, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

(x^{3} + 1) (x^{2} - 2) :

None

Extreme Points of

(x^{3} + 1) (x^{2} - 2) :

Maximum

(- 1.23451 \dots, 0.41953 \dots),

Minimum

(0, - 2),

Maximum

(0.37853 \dots, - 1.95741 \dots),

Minimum

(0.85597 \dots, - 2.06211 \dots)

Graph

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\int \frac{x ^{4} - 2 x ^{3} + 1}{x ^{2}} d x

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d er i v a t i v e \frac{( 3 x ^{2} + 2 x + 7 )}{( x + 1 )}

Frequently Asked Questions (FAQ)

What is the y=(x^3+1)(x^2-2) ?
The y=(x^3+1)(x^2-2) is