Determine whether the function is even using x = k. f(x) = 5|x| + 7x - 5
A) even
B) not even

Question

Quizplus · Accepted Answer

To check whether a function is even, we need to evaluate it using x = -k and x = k, where k is any non-zero real number. If the function remains the same after replacing x with -x, then it is even.

Let's evaluate f(x) for x = k and x = -k:

f(k) = 5|k| + 7k - 5
f(-k) = 5|-k| + 7(-k) - 5
f(-k) = 5|k| - 7k - 5

Since f(k) and f(-k) are not equal, the function f(x) is not even. Therefore, the answer is B.

Determine Whether the Function Is Even Using X = K