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Transcript
```Name: _______________________
MM UNIT 2 Exponential and Logarithmic Functions Test 2016
Paper 1 Technology Free
Time: 35 minutes
Marks: 30
1. The function y  2 x is transformed to a new function with the rule y  2x 1  2 .
a) List the transformations that have been applied to the original function.
b) Sketch the graph of the transformed function. In your sketch mark all significant
features including the location of any axes intercepts and asymptotes.
c) State the domain and range of y  2x 1  2 .
[2 + 4 + 2 = 8 marks]
1
2. Solve for x:
3x
a)
b)
1
4    8
2
x
36 x  4  6 x  12  0
[2 + 3 = 5 marks]
3. Sketch the graph of y  log2 (2  x)  1 , clearly showing the coordinates of any axes
intercepts as well as the location of any asymptotes.
[4 marks]
PTO
2
4. a) Evaluate log 32 2 .
b) Express log x 9  2 as an exponential equation and hence find the value of x.
c) If 3 + log2 (4x) = log2 (y), find y in terms of x.
[2 + 2 + 2 = 6 marks]
5. Solve for x:
log10 x  4log10 2  2log10 2
[3 marks]
3
6. a) Given f ( x)  2log3 ( x  1), x  1 , find the inverse function f 1 ( x).
b) State domain and range of f 1 ( x).
[2 + 2 = 4 marks]
END OF PAPER 1
4
```
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