Answer
no symmetry
Work Step by Step
Step 1. Graph the function $y=x^3-1$ using a table of test points as shown in the figure.
Step 2. We can see that this function is not symmetric with respect to the y-axis, the x-axis, or the origin.
Step 3. Testing for function symmetry, we have $f(-x)=(-x)^3-1=-x^3-1$. Since $f(-x)\ne f(x)$ and $f(-x)\ne -f(x)$, we confirm the results from step 2.