determine whether the graph of each equation is symmetric with respect to the origin, the x-axis, the y-axis, the line y= x, the line y = -x, or none of these.

xy =2
y = 5x^3 - 2x

Have you tried to draw these graphs? Or at least, do you know the basic shape of these graphs?

Try to answer ASAP

The first equation xy=2 is not symmetric with any of the above line.

The second equation 5x^3-2x is symmetric with the origin.

This staff is easy to do if you have a graphing calculator. Otherwise choose some random #'s and plot the points

The first equation xy=2 is not symmetric with any of the above line.

The second equation 5x^3-2x is symmetric with the origin.

This staff is easy to do if you have a graphing calculator. Otherwise choose some random #'s and plot the points

So I want to know like for these problems you basically just have to plug in points??

A graphing calculator is a tool. You should learn what you're doing and what it means first. Then use the tool only after you've learned it. Everyone who "learns" things by plugging stuff in never really learns anything.

The first equation xy=2 is not symmetric with any of the above line.

The second equation 5x^3-2x is symmetric with the origin.

This staff is easy to do if you have a graphing calculator. Otherwise choose some random #'s and plot the points

5x^3 - 2x is not symmetric with respect to any of the lines. In fact, it has a rotational symmetry about the origin, and that's not in the list of choices in the OP's question.

I don't need a graphing calculator. Once you know the basic shape of a graph, and how to manipulate it (by adding constants, varying the coefficients etc), you can pretty well have a good mental image of the graph, sketch it if necessary and you'll be able to tell the different characteristics of the graph.

Bla bla bla... not interested!!