Question 129952
{{{y = abs(x)}}} is an even function because
{{{f(-x) = f(x)}}}. The function is reflected
about the y-axis
Let's try your function
{{{f(x) = -3x^3 + 2x}}}
{{{f(-x) = -3*(-x)^3 + 2*(-x)}}}
{{{f(-x) = -(-3x^3) - 2x}}}
{{{f(-x) = -(-3x^3 + 2x)}}}
{{{f(-x) = -f(x)}}}
So, it's not an even function. Is it an odd function?
{{{y = sin(x)}}} is an odd function because
{{{f(-x) = -f(x)}}}
So, your function is odd also
I'll plot it
{{{ graph( 600, 600, -6, 6, -8, 8, -3x^3 + 2x) }}}