Final answer:
No, the function is not even.
Step-by-step explanation:
No, the student is not correct. To determine if a function is even, we need to check if f(x) = f(-x). Let's substitute -2 for x in the function:
f(-2) = 624 + 4(-2)² - 3
f(-2) = 624 + 4(4) - 3
f(-2) = 624 + 16 - 3
f(-2) = 637
Since f(-2) = 637 and f(2) = 637, we can see that the function is not even. It does not satisfy the condition f(x) = f(-x).