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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)

User Derekyau
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1 Answer

4 votes

Answer:

(-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.

User Jaimy
by
7.6k points

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