Let be defined by

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let

f:[-1,5]\to\mathbb R

be defined by

f(x)=|x-3|+2

. (a) Write the vertex form of

f(x)

and state its minimum value in the given domain. (b) Determine the maximum value of

f(x)

[-1,5]

. (c) Hence find the exact range of

f