Exponential Functions (Edexcel A-Level Mathematics): Quizzes

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Exponential Functions
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In y=a⋅bxy = a \cdot b^x, what does aa represent?

Initial value when x=0x = 0

For exponential growth in y=a⋅bxy = a \cdot b^x, what condition must bb satisfy?

b>1b > 1

What is the domain of an exponential function?

All real numbers

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

aa

Where is the horizontal asymptote for a typical exponential function?

y=0y = 0

What is the approximate value of the natural base ee?

2.7182.718

What unique property does the derivative of exe^x have?

It equals exe^x itself

In y=a⋅bx+cy = a \cdot b^x + c, what effect does cc have?

Shifts graph vertically by cc units

Which formula represents exponential growth proportional to current value?

y=y0⋅ekty = y_0 \cdot e^{kt} where k>0k > 0

Bacteria double every 3 hrs. Starting with 100, how many after 9 hrs using P(t)=100⋅2t/3P(t) = 100 \cdot 2^{t/3}?

800

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