Question

What is the range of function

Answer 1

The range of a function is the set of its possible output values

For example,

For the function f(x)=x2 on the domain of all real numbers (x∈ℝ), the range is the non-negative real numbers, which can be written as f(x)≥0 (or [0,∞) using interval notation)

The range of the function f(x)=sinx, x∈ℝ is the real numbers between −1 and 1, that is −1≤f(x)≤1 (or [−1,1] using interval notation)

The domain of the function can affect the range

For example,

The range of the function g(x)=sinx, x∈ℝ, 0<x<π/2 is the real numbers between 0 and 1, that is 0<g(x)<1 (or (0,1) using interval notation)

Source: undergroundmathematics