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Popular >

f(x)=-x^3+x^2+12x

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (- \frac{- 1 + 37}{3}, - 4 (37 - 1) + \frac{34 37 + 2}{27}), Maximum (\frac{1 + 37}{3}, 4 (1 + 37) + \frac{2 - 34 37}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

- x^{3} + x^{2} + 12 x :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

- x^{3} + x^{2} + 12 x :

None

Extreme Points of

- x^{3} + x^{2} + 12 x :

Minimum

(- \frac{- 1 + 37}{3}, - 4 (37 - 1) + \frac{34 37 + 2}{27}),

Maximum

(\frac{1 + 37}{3}, 4 (1 + 37) + \frac{2 - 34 37}{27})

Popular Examples

f(x)=-1.71x^3+39.67x^2-271.92x+1275.85

f (x) = - 1.71 x^{3} + 39.67 x^{2} - 271.92 x + 1275.85

f (x) = 6 x - 17

y=(x^2-3)/(2x^3+1)

y = \frac{x ^{2} - 3}{2 x ^{3} + 1}

f(x)=xln(1-x)-ln(1-x)

f (x) = x ln (1 - x) - ln (1 - x)

f(x)=\sqrt[3]{(x-1)/(x+2)}

Frequently Asked Questions (FAQ)

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