Solve f\left(x\right)=x^{3} - UpStudy

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Home Math Solver

f(x)=x3

error msg

Algebra
Calculus
Trigonometry
Matrix
Differential
Integral
Trigonometry
Letters

Question

f (x) = x^{3}

Function

Find the inverse
Evaluate the derivative
Find the domain
$Find the x -intercept/zero$
Find the y-intercept
Find the critical numbers
Find the local extrema
Find the increasing or decreasing interval
Find the range
Find the vertical asymptotes
Find the horizontal asymptotes
Find the oblique asymptotes
Determine if even, odd or neither
Find the stationary points
Find the inflection points

More methods

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

Evaluate

f (x) = x^{3}

In the equation for f (x),replace f (x) with y

y = x^{3}

Interchange x and y

x = y^{3}

Swap the sides of the equation

y^{3} = x

Take the 3 -th root on both sides of the equation

3 y^{3} = 3 x

Calculate

y = 3 x

Solution

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

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Testing for symmetry

Testing for symmetry about the origin
Testing for symmetry about the x-axis
Testing for symmetry about the y-axis

Symmetry with respect to the origin

Evaluate

f (x) = x^{3}

Rewrite the function using the appropriate notation

y = x^{3}

To test if the graph of y = x^{3} is symmetry with respect to the origin,substitute -x for x and -y for y

- y = (- x)^{3}

Simplify

- y = - x^{3}

Change the signs both sides

y = x^{3}

Solution

Symmetry with respect to the origin

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Graph