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The figure above shows the graph of the function f in the xy-plane. Wh

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The figure above shows the graph of the function f in the xy-plane. Wh  [#permalink]

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New post 16 May 2018, 03:52
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A
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Difficulty:

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Question Stats:

62% (00:50) correct 38% (01:05) wrong based on 128 sessions

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The figure above shows the graph of the function f in the xy-plane. What is the value of \(f(f(-1))\) ?

A. −2
B. −1
C. 0
D. 1
E. 2


Attachment:
Quant.jpg
Quant.jpg [ 10.9 KiB | Viewed 1620 times ]

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Re: The figure above shows the graph of the function f in the xy-plane. Wh  [#permalink]

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New post 16 May 2018, 04:56
Bunuel wrote:
Image
The figure above shows the graph of the function f in the xy-plane. What is the value of \(f(f(-1))\) ?

A. −2
B. −1
C. 0
D. 1
E. 2


Attachment:
Quant.jpg


\(f(-1)\) = 2

\(f(f(-1))\) = \(f(2)\) = 1

Answer: OPtion D
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Re: The figure above shows the graph of the function f in the xy-plane. Wh  [#permalink]

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New post 16 May 2018, 07:59

Solution



To find:
• Following the given graph, we need to find out the value of f(f(-1))

Approach and Working:
• First we need to find f(-1)
    o As per the graph, at x = -1, f = 2
    o Therefore, f(-1) = 2
• Now, we can write f(f(-1)) = f(2)
    o As per the graph, at x = 2, f = 1
    o Therefore, f(f(-1)) = 1

Hence, the correct answer is option D.

Answer: D
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The figure above shows the graph of the function f in the xy-plane. Wh  [#permalink]

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New post 17 May 2018, 10:44
Inputs are always along x-axis and outputs along y-axis

Function / Input(x-axis) / Output(y-axis)
f(-1) / -1 / +2
f(+2) / +2 / +1

Ans D

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The figure above shows the graph of the function f in the xy-plane. Wh  [#permalink]

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New post 27 Jun 2018, 05:30
EgmatQuantExpert wrote:

Solution



To find:
• Following the given graph, we need to find out the value of f(f(-1))

Approach and Working:
• First we need to find f(-1)
    o As per the graph, at x = -1, f = 2
    o Therefore, f(-1) = 2
• Now, we can write f(f(-1)) = f(2)
    o As per the graph, at x = 2, f = 1
    o Therefore, f(f(-1)) = 1

Hence, the correct answer is option D.

Answer: D


Why did we choose "x" first as per graph and not "y" highlighted in yellow. Is it by default to use such step, I mean why we didn't consider y = -1 or to some value?
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Re: The figure above shows the graph of the function f in the xy-plane. Wh  [#permalink]

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New post 27 Jun 2018, 06:14
QZ wrote:
Why did we choose "x" first as per graph and not "y" highlighted in yellow. Is it by default to use such step, I mean why we didn't consider y = -1 or to some value?


In general, we generally denote a function y = an expression related to x, where x is the input given and y is the corresponding output for that input.

This is similar as saying f(-1) = 2. It indicates when x = -1, y = 2.
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Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
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Re: The figure above shows the graph of the function f in the xy-plane. Wh &nbs [#permalink] 27 Jun 2018, 06:14
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