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SingaporeAdditional MathematicsQuick questions

Logarithmic and Exponential Functions

Quick questions on Graphs of exponential and logarithmic functions: N(A)-Level Additional Mathematics

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the exponential graph y equals a to the x?
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For a base a>1a > 1, the graph of y=axy = a^x:
What is the logarithmic graph y equals log of x?
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For base a>1a > 1, the graph of y=logaxy = \log_a x:
What is q1?
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State the coordinates where y=5xy = 5^x crosses the yy-axis. [1 mark]
What is q2?
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Write down the equation of the asymptote of y=log2xy = \log_2 x and the domain of the function. [2 marks]
What is q3?
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Explain why the graphs of y=4xy = 4^x and y=log4xy = \log_4 x are reflections of each other in y=xy = x. [2 marks]

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