Use function notation, evaluate functions on their domains, and interpret notation in context.
Compare two function values
Problem
Use \(f(x)=2x+1\) to compare \(f(3)\) and \(f(5)\).
Big Picture
What this problem is really about
A comparison of function values must be based on outputs, not just on the size of the inputs. We’ll substitute each input into the same rule in separate calculations, preserve every term, and then compare the two resulting numbers. The sign of that output comparison determines the corresponding inequality between the function values.
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