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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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16 May 2018, 04:52
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Difficulty:

25% (medium)

Question Stats:

61% (00:52) correct 39% (01:07) wrong based on 118 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 [ 10.9 KiB | Viewed 1208 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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16 May 2018, 05:56
Bunuel wrote:

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

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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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16 May 2018, 08:59

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.

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

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17 May 2018, 11:44
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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27 Jun 2018, 06:30
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.

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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27 Jun 2018, 07:14
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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Re: The figure above shows the graph of the function f in the xy-plane. Wh &nbs [#permalink] 27 Jun 2018, 07:14
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# The figure above shows the graph of the function f in the xy-plane. Wh

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