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Popular >

f(x)=x^3-3x+1

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.34729 \dots, 0), (1.53208 \dots, 0), (- 1.87938 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (- 1, 3), Minimum (1, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{3} - 3 x + 1 :

X Intercepts

: (0.34729 \dots, 0), (1.53208 \dots, 0), (- 1.87938 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{3} - 3 x + 1 :

None

Extreme Points of

x^{3} - 3 x + 1 :

Maximum

(- 1, 3),

Minimum

(1, - 1)

Graph

Popular Examples

integral of tanh^2(x)

\int tanh^{2} (x) d x

integral of 1/((x^2-81)^2)

\int \frac{1}{( x ^{2} - 81 ) ^{2}} d x

derivative of ln((e^3^3))

\frac{d}{d x} (ln ((e^{3})^{3}))

limit as x approaches-4+of (3-8x)/(x+4)

x \to - 4 + lim (\frac{3 - 8 x}{x + 4})

derivative of f(x)=(10)/((1-x)^3)derivative of

f (x) = \frac{10}{( 1 - x ) ^{3}}

Frequently Asked Questions (FAQ)

What is the f(x)=x^3-3x+1 ?
The f(x)=x^3-3x+1 is