smc-986-10-Log/Exp

Functions, 2ADV F1 SM-Bank 14 MC

Let

Which one of the following equations is true for all positive real values of

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♦♦ Mean mark 35%.

If then is equal to

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Let for and for all .

Find , where . (1 mark)

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State the domain and range of . (2 marks)

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Show that . (2 marks)
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i.

ii.

♦♦ Mean mark part (a)(ii) 30%.

MARKER’S COMMENT: Many students were unsure of how to present their working in this question. Note the layout in the solution.

Let

is equal to

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♦ Mean mark 44%.

Let and

Then is given by

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