Question

Let f(x)=√x^2 - 64. Evaluate the function f(-x). What conclusion can be made?

a.) The function is an odd function.
b.) The function is both an even and an odd function.
c.) The function is an even function.
d.) The function is neither an even nor an odd function.

Answer 1

9514 1404 393

Answer:

c.) The function is an even function.

Explanation:

Either way you interpret the given function, you have ...

f(-x) = √(-x)^2 -64 = √x^2 -64

f(-x) = f(x) . . . . the function is an even function (only)