Question

17. Which of the following functions f:R-R satisfies the relation f (x + y) =
f(x) + f(y)?
A. f(z) = z²
B. f(z) = az for some real number a
C. f(z) = log2
D. f(z) = e^z​

Answer 1

Answer:

B

Step-by-step explanation:

Its clear that it is a linear function with 0 constant, as

$f(x) = mx +n\\f(x)+f(y) =f(x+y)\\m(x+y) +2n = m(x+y) +n\\2n=n\\n=0$