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MATH / Let f(x)=|x−p|+|x−15|+|x−p−15|, where 0<p<15. Determine the minimum value taken by f(x) for x in the interval p≤x≤15.

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problem

Let f(x)=|x−p|+|x−15|+|x−p−15|,f(x)=|x-p|+|x-15|+|x-p-15|, where 0<p<15.0 < p < 15. Determine the minimum value taken by f(x)f(x) for xx in the interval p≤x≤15.p \leq x\leq15.
Plain-text mathematical notation (without MathML)
Let f(x)=|x−p|+|x−15|+|x−p−15|, where 0<p<15. Determine the minimum value taken by f(x) for x in the interval p≤x≤15.
Original LaTeX notation
Let $f(x)=|x-p|+|x-15|+|x-p-15|,$ where $0 < p < 15.$ Determine the minimum value taken by $f(x)$ for $x$ in the interval $p \leq x\leq15.$

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
1be16565-be42-5feb-bbe9-991c9f804bf6
task_key
intermediate~5falgebra--test--1be16565-be42-5feb-bbe9-991c9f804bf6
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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