Let f(x) = 1 – 3x^2. Which of the following is true? Give a brief explanation.
A. f is an odd function
B. f is an even function
C. f is neither even nor odd
D. f is both even and odd
I would say B because an even function is one where f(x) = f (-x), Is am correct? Is it even?
You are absolutely correct. Go to the head of the class.
Thank you!
Yes, you are correct. An even function is defined as a function where f(x) is equal to f(-x) for all x in the domain of the function. In this case, let's apply the definition to the function f(x) = 1 - 3x^2.
f(x) = 1 - 3x^2
f(-x) = 1 - 3(-x)^2 = 1 - 3x^2
As you can see, f(x) is indeed equal to f(-x), so the function f(x) = 1 - 3x^2 is an even function. Therefore, the correct answer is B.