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Popular >

y=-x^3+x

Solution

y = - x^{3} + x

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

- x^{3} + x :

X Intercepts

: (0, 0), (- 1, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- x^{3} + x :

None

Extreme Points of

- x^{3} + x :

Minimum

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

Maximum

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

Popular Examples

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

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

f (x) = 3 x + 5 + 10

f(x)=|x-3|+|x+5|

f (x) = ∣ x - 3 ∣ + ∣ x + 5 ∣

f(x)=(sin^2(x))/((1+cos^2(x)))

f (x) = \frac{sin ^{2} ( x )}{( 1 + cos ^{2} ( x ) )}

f(z)=((z^3))/((z^2-1))

f (z) = \frac{( z ^{3} )}{( z ^{2} - 1 )}

Frequently Asked Questions (FAQ)

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