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Popular >

f(x)=x^3+12x^2+28x+64

Solution

f (x) = x^{3} + 12 x^{2} + 28 x + 64

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 9.81094 \dots, 0), Y Intercepts : (0, 64)

Asymptotes : None

Extreme Points : Maximum (- \frac{2 ( 6 + 15 )}{3}, \frac{- 2304 - 496 15}{9} + 336 + 6415), Minimum (\frac{2 ( 15 - 6 )}{3}, \frac{496 15 - 2304}{9} + 336 - 6415)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + 12 x^{2} + 28 x + 64 : - \infty < x < \infty

Range of

x^{3} + 12 x^{2} + 28 x + 64 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 12 x^{2} + 28 x + 64 :

X Intercepts

: (- 9.81094 \dots, 0),

Y Intercepts

: (0, 64)

Asymptotes of

x^{3} + 12 x^{2} + 28 x + 64 :

None

Extreme Points of

x^{3} + 12 x^{2} + 28 x + 64 :

Maximum

(- \frac{2 ( 6 + 15 )}{3}, \frac{- 2304 - 496 15}{9} + 336 + 6415),

Minimum

(\frac{2 ( 15 - 6 )}{3}, \frac{496 15 - 2304}{9} + 336 - 6415)

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Frequently Asked Questions (FAQ)

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