Recognising Relationships (VCE SSCE Mathematical Methods): Flashcards

📚Flashcards
Recognising Relationships
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Main focus of recognising relationships topic

Understanding variable relationships using graphs

Positive rate of change: graph appearance

Graph slopes upward (left to right)

Negative rate of change: graph appearance

Graph slopes downward (left to right)

Zero rate of change: graph appearance

Horizontal line, yy constant as xx changes

Rectangular vessel: hh & VV relationship type

Linear (equal volume = equal height increases)

Conical flask: how height changes with volume

Large increases initially, smaller increases later

Purpose of interval notation

Describe where rate of change is positive/negative/zero

Union symbol (\cup) in intervals

Connects separate intervals

Rate of change at turning points

Zero (transitions positive to negative or vice versa)

Benefit of graphical approach to relationships

Understand form & behaviour without algebraic formula

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