Question 842193
f(-x) is equal to -f(x) so it's symmetrical about the origin.


the graph of your equation can be seen below:


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the test for symmetry is generally the following:


if f(-x) = f(x), then the equation is symmetrical about the y-axis.


if f(-x) = -f(x), then the equation is symmetrical about the origin.


if the root is even then (f(-x) will not be equal to -f(x).


if the root is odd, then (f(-x) will be equal to -f(x).


cube root of (-27) is equal to -3.
minus cube root of 27 is equal to minus 3 which is equal to -3.
they are equal.


square root of (-25) is equal to 5i.
minus square root of (25) is equal to -5.
they are not equal.