Question

Find the range of each of the following functions.
(i) f(x) = 2 - 3x, xe R, x > 0.
(ii) f(x) = x² + 2, x is a real number.
(iii) f(x) = x, x is a real number.​

Answer 1

Solution:

The range is the set of values that correspond with the domain.

1. f(x) = 2 - 3x

Range = (-∞, +∞), {y:y ∈ R}

2. f(x) = x^2 + 2

Range = [2, +∞), {y:y ≥ 2}

3. f(x) = x

Range = (-∞, +∞), {y:y ∈ R}

Hope this will be helpful to you.