Question

Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?

Answer 1

Answer:

Option C - determine whether $9-4(-x)^2$ is equivalent to $-(9-4x^2)$ or not.

Step-by-step explanation:

To find : Which statement best describes how to determine whether $f(x) = 9-4x^2$ is an odd function?

Solution :

We have a property for odd functions,

Let f(x) be an odd function then it must satisfy

$f(-x)= -f(x)$

Now, we have been given the function $f(x) = 9-4x^2$

For this function to be odd, it must satisfy the above property.

Replace x with -x,

$f(-x)=9-4(-x)^2$

and

$-f(x)=-(9-4x^2)$

Hence, in order to the given function to be an odd function, we must determine whether $9-4(-x)^2$ is equivalent to $-(9-4x^2)$ or not.

Therefore, C is the correct option.