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Tamil Nadu Board of Secondary EducationHSC Science Class 11

From the curve y = x, draw y = − x - Mathematics

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Question

From the curve y = x, draw y = − x

Diagram
Graph

Solution

x 0 1 2 3 − 1 − 2 − 3
y 0 1 2 3 − 1 − 2 − 3


y = − x

x 0 1 2 3 − 1 − 2 − 3
y 0 − 1 − 2 − 3 1 2 3


Graph of y = – x is the reflection of the graph of y = x about the x-axis.

The graph of y = – f(x) is the reflection of the graph of y = f(x) about x-axis.

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Graphing Functions Using Transformations
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Chapter 1: Sets, Relations and Functions - Exercise 1.4 [Page 44]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 1 Sets, Relations and Functions
Exercise 1.4 | Q 6. (i) | Page 44
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