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Popular >

f(x)=x^3+12x^2+47x+60

Solution

f (x) = x^{3} + 12 x^{2} + 47 x + 60

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 3, 0), (- 4, 0), (- 5, 0), Y Intercepts : (0, 60)

Asymptotes : None

Extreme Points : Maximum (- \frac{12 + 3}{3}, \frac{- 2304 - 286 3}{9} + 256 + 323), Minimum (\frac{- 12 + 3}{3}, \frac{286 3 - 2304}{9} + 256 - 323)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + 12 x^{2} + 47 x + 60 : - \infty < x < \infty

Range of

x^{3} + 12 x^{2} + 47 x + 60 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 12 x^{2} + 47 x + 60 :

X Intercepts

: (- 3, 0), (- 4, 0), (- 5, 0),

Y Intercepts

: (0, 60)

Asymptotes of

x^{3} + 12 x^{2} + 47 x + 60 :

None

Extreme Points of

x^{3} + 12 x^{2} + 47 x + 60 :

Maximum

(- \frac{12 + 3}{3}, \frac{- 2304 - 286 3}{9} + 256 + 323),

Minimum

(\frac{- 12 + 3}{3}, \frac{286 3 - 2304}{9} + 256 - 323)

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Frequently Asked Questions (FAQ)

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