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Popular Functions >

y=10(x^3+4x^2+x-6)

Solution

y = 10 (x^{3} + 4 x^{2} + x - 6)

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (- 2, 0), (- 3, 0), Y Intercepts : (0, - 60)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 13}{3}, 10 (\frac{92 + 26 13}{27} - 6)), Minimum (\frac{- 4 + 13}{3}, 10 (\frac{92 - 26 13}{27} - 6))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

10 (x^{3} + 4 x^{2} + x - 6) : - \infty < x < \infty

Range of

10 (x^{3} + 4 x^{2} + x - 6) : - \infty < f (x) < \infty

Axis interception points of

10 (x^{3} + 4 x^{2} + x - 6) :

X Intercepts

: (1, 0), (- 2, 0), (- 3, 0),

Y Intercepts

: (0, - 60)

Asymptotes of

10 (x^{3} + 4 x^{2} + x - 6) :

None

Extreme Points of

10 (x^{3} + 4 x^{2} + x - 6) :

Maximum

(- \frac{4 + 13}{3}, 10 (\frac{92 + 26 13}{27} - 6)),

Minimum

(\frac{- 4 + 13}{3}, 10 (\frac{92 - 26 13}{27} - 6))

Graph

Popular Examples

f(x)=sqrt((x+2)/(x^2-9))

f(x)= 1/(3x^3+2x^2+3x)

f(x)= 1/3 x^3+3/2 x^2-4x

y=-log_{2}(3(x-2))+4

Frequently Asked Questions (FAQ)

What is the y=10(x^3+4x^2+x-6) ?
The y=10(x^3+4x^2+x-6) is