Exponential Functions and Models (HSC SSCE Mathematics Standard): Flashcards

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Exponential Functions and Models
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Position of variable in exponential function

In the exponent

General form of exponential function

y=axy = a^x or y=a−xy = a^{-x} where a>0a > 0

Y-intercept of exponential graphs

(0, 1)

Range of exponential function outputs

Always positive

Asymptote of exponential graphs

The x-axis

Type of function: y=axy = a^x when a>1a > 1

Growth function

Type of function: y=a−xy = a^{-x} when a>1a > 1

Decay function

Reflection axis: y=axy = a^x to y=a−xy = a^{-x}

y-axis

Effect of increasing base on exponential graph

Makes the graph steeper

Examples of exponential growth models

Population growth, compound interest

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