Find the domain and the range of f (x) = 2-x+sin x

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. (-∞,∞) - ∞,∞ x∈R x|x∈ℝ Find the magnitude of the trig term sin (x) sinx by taking the absolute value of the coefficient. 11 The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation. y = - 1 y = - 1 The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation. y=1 y=1 The range is - 1 ≤y≤1 - 1 ≤y≤1. [ - 1,1 ] - 1,1 y y| - 1 ≤y≤1 Determine the domain and range. Domain: (-∞,∞), x∈R - ∞,∞, x|x∈ℝ Range: [ - 1,1 ], y