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   GRE Word Problems Guide
Ch 1: Word Problem Strategies
Ch 2: 5-Step Method
Ch 3: Functions & Symbols
Ch 4: Progressions & Sequences
Ch 5: Percentages
Ch 6: Interest
Ch 7: Ratio & Proportion
Ch 8: Uniform Motion
Ch 9: Work & Rate
Ch 10: Grouping & Counting
Ch 11: Data Interpretation
Ch 12: Averages & Median
 
 

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   Word Problems & Strategy Chapter: Functions & Symbols
Table of Contents  
 

The GRE uses ƒ(x) to describe a function

A function describes a relationship between one or more inputs and one output.

If ƒ(x) = 2x, then:
ƒ(2) = 4
ƒ(3) = 6

Note: For every ƒ(x) there is one unique value. So, for example, you can't have a ƒ(x) that corresponds to absolute value because ƒ(+2) would result in two answers: -2 and +2.

More interesting functions:

ƒ(x) = 2x/(4 - x)

What does ƒ(x +1) = ?

To solve this, simply plug in (x + 1) in for the function. This is just like Substitution for solving multiple variables.


2(x + 1)
Substitute (x +1) in for x
4 - (x + 1)


2x + 2
 
3 - x

Manipulating Functions


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  Contents of Word Problems Chapter: Table of Contents
Chapter 1: Word Problems & Strategies
  Chapter 2: 5-Step Method
  Chapter 3: Functions & Symbols
  Chapter 4: Progressions & Sequences
  Chapter 5: Percentages
  Chapter 6: Interest, Discount & Markups
  Chapter 7:
Ratio & Proportion
  Chapter 8: Uniform Motion
  Chapter 9: Work & Rate
  Chapter 10:
Grouping & Counting
  Chapter 11: Data Interpretation
  Chapter 12: Averages & Mean
 
Progressions & Sequences

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