Check the Show Symmetry and Show Coordinates boxes and select the odd function \( f(x)=x^{5}-10 x^{3}+17 x \). Move the \( x \)-slider to compare the coordinates of the displayed points. For any odd function, if the point \( (1,8) \) is on the graph of \( f \), what must the coordinates of another point on the graph be? Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. The point \( \square \) will also be on the graph. (Type an ordered pair.)

To determine the coordinates of another point on the graph of the odd function \( f(x) = x^5 - 10x^3 + 17x \), we need to use the property of odd functions. An odd function satisfies the condition: \[ f(-x) = -f(x) \] Given that the point \( (1, 8) \) is on the graph of \( f \), we can find the corresponding point by substituting \( x = 1 \) into the function: \[ f(1) = 8 \] Now, we can find the coordinates of the point corresponding to \( x = -1 \): \[ f(-1) = -f(1) = -8 \] Thus, the coordinates of the other point on the graph will be: \[ (-1, -8) \] So, the answer is: \[ \boxed{(-1, -8)} \]