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Popular >

f(x)=x^3-9x^2-21x+3

Solution

f (x) = x^{3} - 9 x^{2} - 21 x + 3

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.13514 \dots, 0), (- 2.03630 \dots, 0), (10.90115 \dots, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (- 1, 14), Minimum (7, - 242)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 9 x^{2} - 21 x + 3 : - \infty < x < \infty

Range of

x^{3} - 9 x^{2} - 21 x + 3 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 9 x^{2} - 21 x + 3 :

X Intercepts

: (0.13514 \dots, 0), (- 2.03630 \dots, 0), (10.90115 \dots, 0),

Y Intercepts

: (0, 3)

Asymptotes of

x^{3} - 9 x^{2} - 21 x + 3 :

None

Extreme Points of

x^{3} - 9 x^{2} - 21 x + 3 :

Maximum

(- 1, 14),

Minimum

(7, - 242)

Popular Examples

integral from 1 to 3 of 21r^3ln(r)

\int_{1}^{3} 21 r^{3} ln (r) d r

integral from 0 to 7 of |2x-7|

\int_{0}^{7} ∣ 2 x - 7 ∣ d x

taylor cos(x)-x^2,1 taylor

cos (x) - x^{2}, 1

limit as x approaches 9 of-5/((x^3))

x \to 9 lim (- \frac{5}{( x ^{3} )})

derivative of x^pi+pi^x

\frac{d}{d x} (x^{π} + π^{x})

Frequently Asked Questions (FAQ)

What is the f(x)=x^3-9x^2-21x+3 ?
The f(x)=x^3-9x^2-21x+3 is