Question

(9,-9)

(a) Find the coordinates of a second point on the graph of a function fif the given point is on the graph and the function is even.
(x, y) =
(b) Find the coordinates of a second point on the graph of a function fif the given point is on the graph and the function is odd.
(x, y) =

Answer 1

For an even function, the second point will have the same y-coordinate but the opposite x-coordinate as the given point. For an odd function, the second point will have the opposite x-coordinate and the opposite y-coordinate as the given point.

Step-by-step explanation:

An even function is symmetric about the y-axis, which means that if a point (x,y) is on the graph of an even function, then the point (-x,y) is also on the graph. So, if the point (9,-9) is on the graph of an even function, then the point (-9,-9) is also on the graph.

An odd function is generated by reflecting the function about the y-axis and then about the x-axis. This means that if a point (x,y) is on the graph of an odd function, then the point (-x,-y) is also on the graph. So, if the point (9,-9) is on the graph of an odd function, then the point (-9,9) is also on the graph.