Question

4. The graph of an even function contains the point (3,-5) . Which point must also be on the graph of the function?

(3,-5)
(-3,5)
(3,5)
(-3,-5)

Answer 1

(-3,-5)

Explanation:

Even functions have the symmetric property;

`f(x) = f( - x)`

Therefore if (x,y) is on f(x), then (-x,y) also lies on f(x), if f(x) is an even function.

Hence, if (3,-5) lies on f(x), then (-3,-5) also lies on the graph of f(x).

The last option is correct.