Question

Use the table to answer the question.

x f(x)

−2
1
−1
−2

0 −3

1 ?

If f(x)
is an even function, what is the value of the missing entry in the table?

(1 point)
If f(x)
is even, the missing entry is
.
Remaining Attempts : 3

Answer 1

An even function satisfies the property \( f(-x) = f(x) \) for all \( x \).

From the table, we have:

- \( f(-2) = 1 \)
- \( f(-1) = -2 \)
- \( f(0) = -3 \)

Using the property of even functions, we can find \( f(1) \):

Since \( f(-1) = -2 \), we have:
\[ f(1) = f(-1) = -2 \]

Thus, the missing entry \( f(1) \) is \(-2\).

So the answer is:
If \( f(x) \) is even, the missing entry is **-2**.