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Popular >

y=x^3+4x^2+x-6

Solution

y = x^{3} + 4 x^{2} + x - 6

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (- 2, 0), (- 3, 0), Y Intercepts : (0, - 6)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 13}{3}, \frac{92 + 26 13}{27} - 6), Minimum (\frac{- 4 + 13}{3}, \frac{92 - 26 13}{27} - 6)

+1

Solution steps

Domain of

x^{3} + 4 x^{2} + x - 6 : - \infty < x < \infty

Range of

x^{3} + 4 x^{2} + x - 6 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 4 x^{2} + x - 6 :

X Intercepts

: (1, 0), (- 2, 0), (- 3, 0),

Y Intercepts

: (0, - 6)

Asymptotes of

x^{3} + 4 x^{2} + x - 6 :

None

Extreme Points of

x^{3} + 4 x^{2} + x - 6 :

Maximum

(- \frac{4 + 13}{3}, \frac{92 + 26 13}{27} - 6),

Minimum

(\frac{- 4 + 13}{3}, \frac{92 - 26 13}{27} - 6)

Popular Examples

f(x)=(x+4)/(sqrt(x))

f (x) = \frac{x + 4}{x}

f(x)=(x+4)/(x^2+9)

f (x) = \frac{x + 4}{x ^{2} + 9}

f(x)=x^4+3x^3+5x^2+3x+4

f (x) = x^{4} + 3 x^{3} + 5 x^{2} + 3 x + 4

g(x)=(x+7)/(x^2-4)

g (x) = \frac{x + 7}{x ^{2} - 4}

f (x) = x - \frac{3}{x ^{2}}

Frequently Asked Questions (FAQ)

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