Suppose you're given the following table of values for the function f(x), and you're told that the function is even. Then:

Question

x: -2, -.35, 0, .53,1

f(x): 5, -3, 2, 2, -5

A. f(2)= -5

B. something is wrong. Given the table of values, the function can't be even.

C. f(-1) - f(2)= -10

D. f(0) + f(-.53)= 0

E. f(.35) + f(-.53)= 1

Answer 1

None of the given points contract the definition of even function:

f(-x) = f(x)

The property of being even gives us

f(2) = 5

f(0.35) = -3,

f(0) = 2,

f(-0.53) = 2,

f(-1) = -5

These points make C. true and all the other options false.