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Given the above, evaluate g(-r) if r = -7.

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Bunuel
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Given the above, evaluate g(-r) if r = -7. [#permalink] New post   22 Oct 2020, 10:15
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45% (medium)

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53% (00:59) correct 47% (00:57) wrong based on 283 sessions
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\(\begin{g(r)=}\\
\begin{equation*}\\
\begin{cases}\\
4|r| \ if \ r \geq 2 \\\\
|r| \ if \ r < 2 \\\\
\end{cases}\\
\end{equation*}\\
\)

Given the above, evaluate g(-r) if r = -7.

(A) –28
(B) –14
(C) –7
(D) 7
(E) 28
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E
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Re: Given the above, evaluate g(-r) if r = -7. [#permalink] New post   22 Oct 2020, 10:49
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If r = -7, then -r = 7, and g(-r) = g(7). By the definition of the function g, since 7 > 2, g(7) = 4 |7| = 28.
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Re: Given the above, evaluate g(-r) if r = -7. [#permalink] New post   22 Oct 2020, 13:30
g(r) = 4|r| if r>= 2
put -r in place of r

g(-r) = 4|-r| - r>= 2 which is r <= 2

This satisfies the condition and it becomes

4*7 = 28
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Given the above, evaluate g(-r) if r = -7. [#permalink] New post   18 Jul 2021, 10:03
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\(\begin{g(r)=}\\
\begin{equation*}\\
\begin{cases}\\
4|r| \ if \ r \geq 2 \\\\
|r| \ if \ r < 2 \\\\
\end{cases}\\
\end{equation*}\\
\)

And we are asked to find the value of g(-r) when r=-7

Let's put r=-7 first in g(-r) we get
g(-r) = g(-(-7)) = g(7)

Now, to find g(7) we need to check the condition when r >= 2 as (7 >= 2)

=> g(7) = 4|7| = 4*7= 28 (Watch this video to learn about the basics of Absolute Value)

So, answer will be E
Hope it helps!

Watch the following video to learn the Basics of Functions

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Re: Given the above, evaluate g(-r) if r = -7. [#permalink] New post   19 Jul 2021, 07:48
Expert Reply
g(-r) at r = -7 is g(-(-7)) = g(7).

As per the given condition it will be 4 * 7 = 28

Answer E
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Re: Given the above, evaluate g(-r) if r = -7. [#permalink] New post   13 Jan 2023, 01:51
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Re: Given the above, evaluate g(-r) if r = -7. [#permalink]
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