Quick questions on Graphs of exponential and logarithmic functions explained: O-Level A-Maths

6short 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?

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For

a > 1

, the graph of

y = a^x

What is the logarithmic graph?

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For

a > 1

, the graph of

y = \log_a x

What is not moving the asymptote under a shift?

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Adding

1

e^x

raises the asymptote to

y = 1

; leaving it at

y = 0

is wrong.

What is q1?

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State the

y

-intercept and asymptote of

y = 2^x

. [2 marks]

What is q2?

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State the domain and vertical asymptote of

y = \log_3 x

. [2 marks]

What is q3?

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Describe how the graph of

y = e^x - 3

differs from

y = e^x

. [2 marks]

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