Question

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

Answer 1

both even n old

Explanation:

how because just is man

Answer 2

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.