The diagram shows the graph of the function $f(x) = ext{log}_2 x$, where $x > 0$ - Scottish Highers Maths - Question 9 - 2023
Question 9
The diagram shows the graph of the function $f(x) = ext{log}_2 x$, where $x > 0$.
The inverse function, $f^{-1}$, exists.
On the diagram in your answer booklet, sk... show full transcript
Worked Solution & Example Answer:The diagram shows the graph of the function $f(x) = ext{log}_2 x$, where $x > 0$ - Scottish Highers Maths - Question 9 - 2023
Step 1
Final adjustments to the graph
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Answer
In summary, when sketching this graph, maintain the characteristics:
The graph should remain concave up above the x-axis for x>0.
It must pass through (0,0) and (1,1),
As x approaches negative infinity, the curve approaches y=−1.
Be mindful of ensuring a smooth curve without sharp corners as per typical behavior of exponential graphs.
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