Exponential Number Patterns and Graphs (Grade 12 NSC Matric Mathematical Literacy): Flashcards

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Exponential Number Patterns and Graphs
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Exponential growth definition

Increases slowly then rapidly, creating curved steeper graph

Main characteristic of exponential growth

Each increase proportional to current amount

Linear growth key mathematical feature

Constant difference between consecutive values

Exponential growth key mathematical feature

Constant ratio between consecutive terms

Key difference: linear vs exponential

Linear: constant difference; Exponential: constant ratio

Shape of exponential graph

Curved, getting progressively steeper over time

Why compound interest is exponential

Interest calculated on total amount each year

What Year 0 represents

Starting point or initial condition

How to confirm exponential growth

Calculate consecutive ratios - if constant, exponential

Exponential growth behavior pattern

Starts slowly but accelerates rapidly

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