The required even function given by the option is f(x) = 8x. Option B is correct.
From the question, an even function from the option is to determine.
What are an even function and an odd function?
Even function, is defined as the number that are multiple and divisible by 2.
Example , 2, 4 , 6, 8, 10, . . . . . .
An odd function is defined as the number that are not multiple and divisible by 2. Example 1, 3, 5, 7, . . . . . . .
For option A f(x) = (x - 1)²
for x = 2
f(x) = (2-1)²
f(x) = 1 (which is odd function)
Similarly, C and D are also odd functions,
Option B f(x) = 8x
for x = 3
f(3) = 8 * 3
= 24 (it is an even number)
It implies the function is an even function.
Thus, the required even function given by the option is f(x) = 8x. Option B is correct.
Learn more about even and odd function here:
https://brainly.com/question/26147469
#SPJ6
