Nusret Balcı TMUA Paper 1 · Question 15

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Nusret Balcı TMUA Paper 1 · Q15

Paper 1Functions & graphs

Let $p,q,r,s$ be real numbers with $p<q<r<s$ . Consider the function $f(x)$ defined by:

f(x)=|x-p|+|x-q|+|x-r|+|x-s|

The set of values of $x$ for which $f(x)$ takes its minimum value is the closed interval $[5,12]$ . The minimum value of $f(x)$ is 28.

What is the value of $s-p$ ?

7

14

19

21

28

35

GIt cannot be determined from the given information.

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