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Popular >

f(x)=x^3-10x^2+31x-30

Solution

f (x) = x^{3} - 10 x^{2} + 31 x - 30

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (2, 0), (3, 0), (5, 0), Y Intercepts : (0, - 30)

Asymptotes : None

Extreme Points : Maximum (\frac{10 - 7}{3}, \frac{790 + 14 7}{27} - 30), Minimum (\frac{10 + 7}{3}, \frac{790 - 14 7}{27} - 30)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 10 x^{2} + 31 x - 30 : - \infty < x < \infty

Range of

x^{3} - 10 x^{2} + 31 x - 30 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 10 x^{2} + 31 x - 30 :

X Intercepts

: (2, 0), (3, 0), (5, 0),

Y Intercepts

: (0, - 30)

Asymptotes of

x^{3} - 10 x^{2} + 31 x - 30 :

None

Extreme Points of

x^{3} - 10 x^{2} + 31 x - 30 :

Maximum

(\frac{10 - 7}{3}, \frac{790 + 14 7}{27} - 30),

Minimum

(\frac{10 + 7}{3}, \frac{790 - 14 7}{27} - 30)

Popular Examples

p(x)=x^6-11x^5+30x^4

p (x) = x^{6} - 11 x^{5} + 30 x^{4}

f (R) = R^{5}

f(x)=arccos((2x+1)/3)+pi/6

f (x) = arccos (\frac{2 x + 1}{3}) + \frac{π}{6}

f (x) = ln (1 + \frac{2}{x})

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

Frequently Asked Questions (FAQ)

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