Year 12 Methods (Unit 3 & 4) Functions and relations

Implied domains and types of functions

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Questions

Question 1

28522

What is the range of \(y = {2^x} + 1?\)

Answer

\({\rm{Range = }}\left( {1,\infty } \right)\)

Worked Solution

\begin{aligned}
&y=2^{x}+1 \text{ is an exponential function }\\
&\text {with an asymptote at } y=1.\\
&\therefore \text {Range }=(1, \infty)
\end{aligned}

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