Question

determine whether the function below is an even function an odd function both or neither

Answer 1

Correct Answer:
Even Function

Solution:
For an even function:
f(x) = f(-x)

For an odd function:
f(x) = -f(x)

The given function is:

$f(x)= x^{6} + 10x^{4}- 11 x^{2}+19$

Replacing x by -x, we get:

$f(-x)= (-x)^{6} + 10(-x)^{4}- 11 (-x)^{2}+19 \\ \\ f(-x)= x^{6} + 10x^{4}- 11 x^{2}+19 \\ \\ f(-x) = f(x)$

Since f(-x) = f(x), the given function is an even function.

Answer 2

Answer:

both even n old

Step-by-step explanation:

how because just is man