Question

Need help with number 4. Verify algebratically if each function is even, odd, or neither

Answer 1

4. You have the following function:

f(x) = x^2 + 6

In order to determine if the prevous function is even, odd or neither, remind that you have odd and even function for the following cases:

f(-x) = f(x) even

f(-x) = -f(x) odd

Then, if you replace x by -x into f(x), you get:

f(-x) = (-x)^2 + 6

= x^2 + 6

= f(x)

Then, in this case f(-x) = f(x), hence, the function is even