Combine standard functions using arithmetic operations to build models.
Scale a function by a constant and interpret the scaled model
Problem
The amount for one identical group is \(f(x)=4x+3~\text{units}\). Find \(5f(x)\).
Big Picture
What this problem is really about
Scaling a function means taking multiple copies of its entire output, not changing only one term or replacing the input. We’ll substitute the full rule inside parentheses, distribute the scale factor across every term, and interpret the result as the stated number of identical groups. A zero-input check makes any missed scaling of the constant especially visible.
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