Question

test each equation for symmetry with respect to the x-axis, y-axis, and the origin. y=x^3-x

Answer 1

well this is easy if u know the roots do u know the roots hint its really easy once u factor

Answer 2

y=x(x-1)(x+1)
hence x=0, x=1, x=-1

Answer 3

since we know these are the points the graph turns at we can use them to test whether they are symmetrical or not

Answer 4

http://www.wolframalpha.com/input/?i=+y%3Dx^3-x

Answer 5

this is how the graph looks like

Answer 6

so we test a point after -1 like -0.5

Answer 7

and a point before 1 like 0.5

Answer 8

if u tested it u will find it's not symmetrical along y axis

Answer 9

it's also not symmetrical x axis

Answer 10

(since its odd function i actually knew it)