find another point based of of one that may be even, or odd.

Question

Suppose the point (8, -7) is on the graph of y = f(x). Use this point to answer the questions below.

(a) If f is an even function, find another point on the graph of y = f(x).

(b) If f is an odd function, find another point on the graph of y = f(x). Do not use (0, 0).

I do not know how to do these type of functions, I don't understand. please explain the answer and how you got there.

 

Answer 1

f(x) is an even function if f(-x) = f(x).

 

a) (-8, -7)

 

f(x) is an even function if f(-x) = -f(x)

 

b) (-8, 7)