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Popular Functions >

f(x)=x^3-6x^2+5x+12

Solution

f (x) = x^{3} - 6 x^{2} + 5 x + 12

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1, 0), (3, 0), (4, 0), Y Intercepts : (0, 12)

Asymptotes : None

Extreme Points : Maximum (\frac{6 - 21}{3}, \frac{288 - 58 21}{9} + 821 - 26), Minimum (\frac{6 + 21}{3}, \frac{288 + 58 21}{9} - 26 - 821)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 6 x^{2} + 5 x + 12 : - \infty < x < \infty

Range of

x^{3} - 6 x^{2} + 5 x + 12 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 6 x^{2} + 5 x + 12 :

X Intercepts

: (- 1, 0), (3, 0), (4, 0),

Y Intercepts

: (0, 12)

Asymptotes of

x^{3} - 6 x^{2} + 5 x + 12 :

None

Extreme Points of

x^{3} - 6 x^{2} + 5 x + 12 :

Maximum

(\frac{6 - 21}{3}, \frac{288 - 58 21}{9} + 821 - 26),

Minimum

(\frac{6 + 21}{3}, \frac{288 + 58 21}{9} - 26 - 821)

Graph

Popular Examples

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f(x)=sqrt(ln((5x-x^2)/4))

y=2\sqrt[3]{x+2}-4

f(x)=x^2+2cos(x)

f(x)=\sqrt[3]{8-x}

Frequently Asked Questions (FAQ)

What is the f(x)=x^3-6x^2+5x+12 ?
The f(x)=x^3-6x^2+5x+12 is