The Figure Above Shows the Graph of the Derivative of a Continuous Function F for 0 X 4

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The figure above shows the graph of the function f in the xy-plane. Wh [#permalink]   16 May 2018, 03:52

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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

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Re: The figure above shows the graph of the function f in the xy-plane. Wh [#permalink]   16 May 2018, 04:56

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

\(f(-1)\) = 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]   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]   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]   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]   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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Re: The figure above shows the graph of the function f in the xy-plane. Wh [#permalink]   10 Jul 2020, 09:47

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

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

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

IMO D
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Re: The figure above shows the graph of the function f in the xy-plane. Wh [#permalink]   09 Oct 2021, 04:24

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

09 Oct 2021, 04:24

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