If −3 ≤ g ≤ 2 and f(g) = −2g and g is an integer, then which of the fo

Question

If −3 ≤ g ≤ 2 and f(g) = −2g and g is an integer, then which of the following integers could be a value of f(g) ?

I. −2
II. 0
III. 2

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

GMATinsight · Answer

G could be {-3, -2, -1, 0, 1, 2}
f(g) = −2g

f(-3) = −2(-3) = 6
f(-2) = −2(-2) = 4
f(-1) = −2(-1) =  2 
f(0) = −2(0) =  0 
f(1) = −2(1) =  -2 
f(2) = −2(2) = -4

ANser: Option E

BrushMyQuant · Answer

Given that  −3 ≤ g ≤ 2 and g is an integer and we need to find the value of f(g)

Let's start by finding out the possible integer values of g

Since, −3 ≤ g ≤ 2 => g can be -3, -2, -1, 0 , 1, 2

Let's find out the value of f(g) for each of these values of g

g = -3, then f(g) = -2g = -2*-3 = 6
g = -2, then f(g) = -2g = -2*-2 = 4
g = -1, then f(g) = -2g = -2*-1 = 2 (III)
g = 0, then f(g) = -2g = -2*0 = 0 (II)
g = 1, then f(g) = -2g = -2*1 = -2 (I)
g = 2, then f(g) = -2g = -2*2 = -4

So, all three values are possible.

So,  Answer will be E 
Hope it helps!

Watch the following video to learn the Basics of Functions and Custom Characters

https://www.youtube.com/watch?v=b7JoMX0gk8M

If −3 ≤ g ≤ 2 and f(g) = −2g and g is an integer, then which of the fo

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If −3 ≤ g ≤ 2 and f(g) = −2g and g is an integer, then which of the fo

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