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Intern Joined: 24 Jan 2019
Posts: 26
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Kudos [?]: 2 , given: 29

The figure above shows the graph of the function defined by [#permalink] 00:00

Question Stats: 100% (00:15) correct 0% (00:00) wrong based on 2 sessions
Please can anyone help with this question, the correct choice is E, how can we solve such questions.
Please look at the attached image.
thnxxxx

Attachment: #GREpracticequestion The figure above shows the graph of the ftmctionf defined by.jpg [ 12.85 KiB | Viewed 301 times ]

The figure above shows the graph of the function defined by $$f(x) = |2x| +4$$ for all numbers x. For which of the following function g defined for all numbers x does the graph of g intersect the graph of $$f$$ ?

A. $$g(x)=x — 2$$

B. $$g(x)=x + 3$$

C. $$g(x)= 2x — 2$$

D. $$g(x) = 2x + 3$$

E. $$g(x) = 3x — 2$$
[Reveal] Spoiler: OA

Last edited by amorphous on 26 Jan 2019, 17:45, edited 5 times in total.
Edited by Carcass Director  Joined: 07 Jan 2018
Posts: 659
Followers: 7

Kudos [?]: 619  , given: 88

Re: The figure above shows the graph of the function defined by [#permalink]
1
KUDOS
This is one of the sample question by ETS available in their website.

Here the main point to remember is sometimes you need to draw the figure to find the right answer.
First of all notice that the given eqn of the line has a slope of 2, option C and D also have a slope of 2 so we can put a value for x and see if any of the two lines will intersect the given eqn for $$f(x)$$.
Let us take $$x = 1$$ we get, for c: $$g(x) = 0$$; for D: $$g(x) = 5$$
Since C and D do not intersect $$f(x)$$ for $$x = 1$$ we can conclude they will not intersect f(x) because f(x) and g(x) have the same slope.

option $$A$$and $$B$$ are linear graph.

Let us draw the figure for option A in a graph
Attachment: intersection.gif [ 2.27 KiB | Viewed 286 times ]

This graph will not intersect line f(x) this is because slope of line f(x) is 2 whereas the slope of line g(x) is 1. For every increase in value of x f(x) will be more steeper than g(x). Choice B can be eliminated as well. This leaves us with choice E only.
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Founder  Joined: 18 Apr 2015
Posts: 7386
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Kudos [?]: 1448 , given: 6583

Re: The figure above shows the graph of the function defined by [#permalink]
Expert's post
The question is discussed here

https://greprepclub.com/forum/the-gure- ... -6322.html

Do a search on the board before to post a question. Especially if they are official question. We discussed all of them here on the board

Regards
_________________ Re: The figure above shows the graph of the function defined by   [#permalink] 27 Jan 2019, 11:51
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