g is a coordinate system for a line L and a ∈ R, then the function f : L → R given by    f(P) = g(P) + a is also a coordinate system for L.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Show that if g is a coordinate system for a line L and a ∈ R, then the function

f : L → R given by    f(P) = g(P) + a

is also a coordinate system for L.

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