Year 12 Methods (Unit 3 & 4) Exponential and logarithmic functions

Graphing logarithmic functions

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Questions

Question 1

13435

Which one of the graphs below is the graph of \(f(x) = {\log _3}( - x)\)?

Answer

Graph B

Worked Solution

\begin{aligned}f(x)&=\log_3 x \text{ is A},\\f(2)&=\log_3 (-x)\text{ is the reflection of }f(x)=\log_3 x \text{ about the }y\text{-axis}\\&\therefore \text{ B.}\end{aligned}

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