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Popular >

f(x)=-x^3+37x^2+18x-60

Solution

f (x) = - x^{3} + 37 x^{2} + 18 x - 60

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1.06576 \dots, 0), (- 1.50375 \dots, 0), (37.43798 \dots, 0), Y Intercepts : (0, - 60)

Asymptotes : None

Extreme Points : Minimum (- \frac{- 37 + 1423}{3}, \frac{101306 - 2684 1423}{27} + 162 - 61423), Maximum (\frac{37 + 1423}{3}, \frac{101306 + 2684 1423}{27} + 162 + 61423)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- x^{3} + 37 x^{2} + 18 x - 60 : - \infty < x < \infty

Range of

- x^{3} + 37 x^{2} + 18 x - 60 : - \infty < f (x) < \infty

Axis interception points of

- x^{3} + 37 x^{2} + 18 x - 60 :

X Intercepts

: (1.06576 \dots, 0), (- 1.50375 \dots, 0), (37.43798 \dots, 0),

Y Intercepts

: (0, - 60)

Asymptotes of

- x^{3} + 37 x^{2} + 18 x - 60 :

None

Extreme Points of

- x^{3} + 37 x^{2} + 18 x - 60 :

Minimum

(- \frac{- 37 + 1423}{3}, \frac{101306 - 2684 1423}{27} + 162 - 61423),

Maximum

(\frac{37 + 1423}{3}, \frac{101306 + 2684 1423}{27} + 162 + 61423)

Popular Examples

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

f(x)=-3(x-2)^2-4

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

Frequently Asked Questions (FAQ)

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