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This particular mathematics graph interpretation will discuss how graph of differs from and. The purpose of this project is to study the relationship among those functions.

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  • Essay length: 1084 words
  • Submitted: 31/01/2010
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International Baccalaureate Maths

The first 200 words of this essay...

Introduction

This particular mathematics graph interpretation will discuss how graph of differs from and. The purpose of this project is to study the relationship among those functions. The guiding question is: How do they differ from one another and what patterns do they have?

Hypothesis

The function will differ from the other function by having all the parts of the function below the x-axis, where negative units lie for y - axis, as a horizontal reflection. Because absolute value can only have positive value as a result, the function will also have positive value only. Therefore, when having an absolutely value graph, because only positive value exists, the negative value part of the graph will reflect upon x -axis. In addition, the original graph's y - intercept and range will have positive sign of the original value and be equal to or greater than zero respectively for absolute value function.

Comparing and

Absolute value graph of and

General Statement

When changing the equation from to, the bottom part (the part where y has a negative value) of the graph reflects upon x-axis and in the graph, the

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