What is the minimal value of function f(x)?

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factor26: Senior | Next Rank: 100 Posts; Posts: 99; Joined: Sun Mar 13, 2011 12:42 pm

by factor26 » Sun Oct 30, 2011 2:57 pm

What is the minimal value of function f(x)?

(1) f(0) = 16
(2) f(x) = (x - 4)^2

answer is b can someone go through the logic here?

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Source: Beat The GMAT — Problem Solving | Sun Oct 30, 2011 2:57 pm

shankar.ashwin: Legendary Member; Posts: 966; Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members; Thanked: 230 times

by shankar.ashwin » Sun Oct 30, 2011 4:05 pm

From (1) you know f(0) = 16, since we are asked for a minimum value, there may be a lesser value possible, say f(-4) could be -20. We can't say.

From (2) since f(x) is a function which is squared, it can take only positive values or 0. We can say the minimum value of f(x) here would be 0, when x=4. Sufficient. B

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