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Popular >

f(x)=x^3+4x^2-25x-100

Solution

f (x) = x^{3} + 4 x^{2} - 25 x - 100

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 4, 0), (- 5, 0), (5, 0), Y Intercepts : (0, - 100)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 91}{3}, \frac{1028 + 182 91}{27} - 100), Minimum (\frac{- 4 + 91}{3}, \frac{1028 - 182 91}{27} - 100)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + 4 x^{2} - 25 x - 100 : - \infty < x < \infty

Range of

x^{3} + 4 x^{2} - 25 x - 100 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 4 x^{2} - 25 x - 100 :

X Intercepts

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

Y Intercepts

: (0, - 100)

Asymptotes of

x^{3} + 4 x^{2} - 25 x - 100 :

None

Extreme Points of

x^{3} + 4 x^{2} - 25 x - 100 :

Maximum

(- \frac{4 + 91}{3}, \frac{1028 + 182 91}{27} - 100),

Minimum

(\frac{- 4 + 91}{3}, \frac{1028 - 182 91}{27} - 100)

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Frequently Asked Questions (FAQ)

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