For , let be a point on the graph of . What expression gives the distance from this…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

For

0\le x\le 3

, let

(x,f(x))

be a point on the graph of

y=f(x)

. What expression gives the distance from this point to the horizontal line

y=4

? (a)

4-f(x)

(b)

4+f(x)

(c)

\lvert 4-f(x)\rvert

(d)

\sqrt{x^{2}+(4-f(x))^{2}}