f(x)=x^3
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
f\left(x\right)=x^{3}
Function
-
Find the inverse
-
Evaluate the derivative
-
Find the domain
-
\text{Find the }x\text{-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
Hide more
f^{-1}\left(x\right) = \sqrt[3]{x}
Evaluate
f\left(x\right)=x^{3}
\text{In the equation for }f\left(x\right)\text{,replace }f\left(x\right)\text{ with }y
y=x^{3}
\text{Interchange }x\text{ and }y
x=y^{3}
Swap the sides of the equation
y^{3}=x
\text{Take the }3\text{-th root on both sides of the equation}
\sqrt[3]{y^{3}}=\sqrt[3]{x}
Calculate
y=\sqrt[3]{x}
Solution
f^{-1}\left(x\right) = \sqrt[3]{x}
Show Solutions
Testing for symmetry
-
Testing for symmetry about the origin
-
Testing for symmetry about the x-axis
-
Testing for symmetry about the y-axis
\textrm{Symmetry with respect to the origin}
Evaluate
f\left(x\right)=x^{3}
Rewrite the function using the appropriate notation
y=x^{3}
\text{To test if the graph of }y=x^{3}\text{ is symmetry with respect to the origin,substitute -x for x and -y for y}
-y=\left(-x\right)^{3}
Simplify
-y=-x^{3}
Change the signs both sides
y=x^{3}
Solution
\textrm{Symmetry with respect to the origin}
Show Solutions
Graph
