TMUA 2017 Paper 2 Q7 — Worked Solution

P2·Indices, Logarithms & Exponentials, Functions, Transformations & Graphs·6.0Official · 2017 · Q7

exponential-graphgrowth-ratemulti-statement

The graphs of two functions are shown here:
•

y = a^{x}

is shown with a solid line, where

a

is a positive real number
•

y = f (x)

is shown with a dashed line

f (x) = b^{x}

for some

b > a

f (x) = b^{x}

for some

b < a

f (x) = a^{k x}

for some

k > 1

f (x) = a^{k x}

for some

k < 1

Which of the above statements could be true?

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