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Popular Functions >

y=x^3-3x^2+x+1

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (1 + 2, 0), (1 - 2, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{3 - 6}{3}, \frac{36 - 14 6}{9} + 26 - 4), Minimum (\frac{3 + 6}{3}, \frac{36 + 14 6}{9} - 4 - 26)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 3 x^{2} + x + 1 : - \infty < x < \infty

Range of

x^{3} - 3 x^{2} + x + 1 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 3 x^{2} + x + 1 :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

x^{3} - 3 x^{2} + x + 1 :

None

Extreme Points of

x^{3} - 3 x^{2} + x + 1 :

Maximum

(\frac{3 - 6}{3}, \frac{36 - 14 6}{9} + 26 - 4),

Minimum

(\frac{3 + 6}{3}, \frac{36 + 14 6}{9} - 4 - 26)

Graph

Popular Examples

f(x)=ln(sqrt(x^2+1)+x)

f(x)=x^{10}+x^9+x^8+x^3-1

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

f(x)=x^3-sin(x)

g(x)={3x-2:-4<= x<= 4,x:4<x<6}

Frequently Asked Questions (FAQ)

What is the y=x^3-3x^2+x+1 ?
The y=x^3-3x^2+x+1 is