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Popular >

y=3x^3-x

Solution

y = 3 x^{3} - x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- \frac{1}{3}, 0), (\frac{1}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{3}, \frac{2}{9}), Minimum (\frac{1}{3}, - \frac{2}{9})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

3 x^{3} - x :

X Intercepts

: (0, 0), (- \frac{1}{3}, 0), (\frac{1}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 x^{3} - x :

None

Extreme Points of

3 x^{3} - x :

Maximum

(- \frac{1}{3}, \frac{2}{9}),

Minimum

(\frac{1}{3}, - \frac{2}{9})

Popular Examples

f(x)= 2/(x^3-5x)

f (x) = \frac{2}{x ^{3} - 5 x}

f(x)=(x^5+12x^3-5x)/(2x^6+4x^3+x^2-2)

f (x) = \frac{x ^{5} + 12 x ^{3} - 5 x}{2 x ^{6} + 4 x ^{3} + x ^{2} - 2}

y=-1/2 x^2+2x+2.5

y = - \frac{1}{2} x^{2} + 2 x + 2.5

y=(4x^2-16x+8)^5

y = (4 x^{2} - 16 x + 8)^{5}

f(x)=sqrt(x-|x|)

f (x) = x - ∣ x ∣

Frequently Asked Questions (FAQ)

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