Graphs of exponential functions (AQA GCSE Further Maths): Quizzes

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Graphs of exponential functions
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What defines an exponential function?

Variable is in the exponent

Which point do all graphs of the form y=axy = a^x pass through?

(0,1)(0, 1)

Why does y=axy = a^x always pass through (0,1)(0, 1)?

Any number to power 0 equals 1

What pattern does y=2xy = 2^x show?

Exponential growth

What happens to yy in y=2−xy = 2^{-x} as xx increases?

yy decreases toward zero

How are y=axy = a^x and y=a−xy = a^{-x} related graphically?

Reflections across y-axis

For y=ab−xy = ab^{-x} through (0,0.5)(0, 0.5), what is aa?

0.50.5

Which is a real-life application of exponential functions?

Radioactive decay

In y=ab−xy = ab^{-x} for decay, what does aa represent?

Initial amount

How does y=x5y = x^5 differ from y=5xy = 5^x?

Variable position differs

What typically indicates exponential growth?

Positive exponent

Which of these is an exponential function?

3−x3^{-x}

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