Re: Symmetry
First you should convert the equation to:
5x^3-6y^5=3
\(\displaystyle y = {[\frac{1}{6}\cdot(5\cdot x^3 -3)]}^{\frac{1}{5}}\)
Then use a graphing calculator to plot it and look at it.
Then, I would find (from text book, classnotes, google, etc.)
- What is/are the condition/s for symmetry around x-axis?
- What is/are the condition/s for symmetry around y-axis?
- What is/are the condition/s for symmetry around origin?
Does your curve look symmetric?
If yes - then state what condition/s it fulfilled to be symmetric.
If no - then state what condition/s it did not fulfil to violate symmetry.
