Question

A student claims that the function f (-2) = 624 + 4x² – 3 is an even function. Is the

student correct?

Answer 1

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).