Exponential Functions (AQA A-Level Mathematics): Quizzes

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Exponential Functions
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In y=abxy = a \cdot b^x, what does the function represent if b>1b > 1?

Exponential growth

What is the domain of an exponential function y=abxy = a \cdot b^x?

All real numbers

For y=abxy = a \cdot b^x, what is the yy-intercept?

aa

What is the approximate value of ee in the natural exponential function?

2.7182.718

What unique property does exe^x have in calculus?

Its derivative equals exe^x

How does y=abx+cy = a \cdot b^x + c transform the graph of y=abxy = a \cdot b^x?

Vertical shift by cc units

In the growth model y=y0ekty = y_0 \cdot e^{kt}, what does y0y_0 represent?

Initial quantity

What condition on bb indicates exponential decay in y=abxy = a \cdot b^x?

0<b<10 < b < 1

What type of asymptote do exponential functions typically have?

Horizontal asymptote

If bacteria double every 33 hrs starting with 100100, how many are there after 99 hrs?

800800

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