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

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Exponential Functions and Models
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What is the key feature that distinguishes an exponential function from other functions?

The variable appears in the exponent

Through which point does every exponential graph pass, regardless of the base value aa?

(0,1)(0, 1)

What is the asymptote for exponential graphs?

The x-axis

When a>1a > 1, which type of function is y=axy = a^x?

A growth function

How is the graph of y=a−xy = a^{-x} related to the graph of y=axy = a^x?

It is a reflection in the y-axis

What happens to the graph when the base value increases (e.g., from y=2xy = 2^x to y=3xy = 3^x)?

The graph becomes steeper

What can be said about the y-values of exponential graphs?

They are always positive

Which of these is an example of exponential growth?

Population growth

Which situation is modelled by exponential decay?

Depreciation of assets

What type of graph results when a=1a = 1 in an exponential function?

A horizontal line at y=1y = 1

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