The meaning of range in algebra term?

Answer 1

Given a function f(x), the domain is all of the numbers you are allowed to put in it (in other words x), and the range is all of the numbers you can get from it (in other words f(x)).

Here are a few examples:

f(x) = 3x+2

D: All real numbers (-inf,inf)

R: All real numbers (-inf,inf)

f(x) = |x| + 2 (where |x| is the absolute value of x)

D: All real numbers (-inf,inf)

R: All real numbers greater than or equal to 2 [2,inf)

f(x) = 1/(4x^2-1)

D: All real numbers except 1/2 and -1/2 (because if you plug in either of those you get 1/0 which is undefined) (-inf,-1/2) u (-1/2,1/2) u (1/2,inf)

R: All real numbers greater than or equal to -1 except 0. [-1,0) u (0,inf)