Graphs of Practical Situations (HSC SSCE Mathematics Standard): Quizzes

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Exponential Functions and Models
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What is the key feature of an exponential function?

Variable appears in the exponent

In exponential functions y=axy = a^x, what must be true about aa?

a>0a > 0

What point do all exponential graphs pass through?

(0,1)(0, 1)

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

Growth function

Where are all exponential graphs positioned relative to the x-axis?

Completely above the x-axis

What is the relationship between the x-axis and exponential graphs?

The x-axis is an asymptote

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

Reflection in the y-axis

When a>1a > 1, what type of function is y=axy = a^{-x}?

Decay function

Which situation is modelled by exponential decay?

Radioactive decay

Which situation is modelled by exponential growth?

Spread of diseases

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