Range of a Linear Function
For a linear function f(x) = kx + b \ (k ≠ 0), its domain is ℝ, and its range is also all real numbers ℝ. Conditions: k ≠ 0.
Syllabus path: Functions › Concepts and Properties of Functions › Range of a Function
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CSCA Mathematics Formula Reference
Formula and explanation
For a linear function f(x) = kx + b \ (k ≠ 0), its domain is ℝ, and its range is also all real numbers ℝ. Conditions: k ≠ 0. If k = 0, the function degenerates to a constant function f(x) = b, whose range is the singleton set {b}.
Related tutorial and examples
Range of a Function
Range of a Function 1. Concept The range of a function y = f(x) is the set of all possible output values y corresponding to the input values x in the domain D. It is denoted as R_f = { f(x) | x ∈ D }. Intuitive Understanding: If you project the graph of a function horizontally on…
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