A graph of a function y = f(x) is symmetric with respect to the origin if replacing x by -x and y by -y yields the same function. For y = 10x, if we replace x by -x and y by -y, we get -y = -10x, which simplifies to y = 10x. Thus, the graph of y = 10x is symmetric with respect to the origin.
Linear functions are odd degree functions. These type of functions do not have any symmetry with respect to the either axis.
