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linear interpolation if

$f(1)=1 $, $f(5)=2$, $f(7)=5$.

What is $f(x)$?

I have tried with Lagrange but it doesn't work or maybe I am doing it wrong

Bernard
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Birgit Dulanto
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    Welcome to Math SE. Could you add more context around your question? Where is it from? What have you tried? How do you usually solve problems like this? – Alain Remillard Jan 14 '20 at 20:59
  • Linear interpolation uses $2$ values. With $3$ values, you can only have a quadratic interpolation. – Bernard Jan 14 '20 at 21:54
  • I get 0.59 with the quadratic interpolation also but I dont get any of the possible check-answers. – Birgit Dulanto Jan 15 '20 at 11:03

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