Question

The absolute value of a real number is defined as its numerical value without regard for sign. So, for example, abs(2) = abs(−2) = 2.

The maximum of two real numbers is defined as the numerically bigger of the two. For example, max(2, −3) = max(2, 2) = 2.

Express:
a.abs in terms of max
b.max in terms of abs

Answer 1

Hm. |x| = max(x, -x), that one is straightforward.

Answer 2

The other one is more subtle. Do you want it, or do you want a hint?

Answer 3

oh no :)
a.abs(x) = max(x, −x)
b.max(x, y) = ½(x + y + abs(x − y))

Answer 4

right

Answer 5

thanks lol