Download C1 : ALGEBRA AND FUNCTIONS 1

C3 : EXPONENTIALS AND LOGARITHMS
Score:
1)
Percentage:
Grade:
Effort:
The function f is given by
f: x ↦ ln (3x  6),
x  ℝ,
x > 2.
(a) Find f1(x).
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(b) Write down the domain of f1 and the range of f1.
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(c) Find, to 3 significant figures, the value of x for which f(x) = 3.
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[Edexcel P2 June 04 Qu 8]
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2)
figure 1
y
O
A
x
B
Figure 1 shows a sketch of the curve with equation y = f(x) where the function f is given by
f : x  ex2  1
,
x 
.
The curve meets the x-axis at the point A and the y-axis at point B.
a) Write down the coordinates of A and B
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b) Find, in the form f 1 ( x) : x  ....... , the inverse function of f and state its domain.
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[Edexcel P2 Mock Paper Qu 8]
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3)
Find, giving your answers to two decimal places, the values of w and y for which
a) e  w  4
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b) ln( y  1)  ln y  0.85
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[Edexcel P2 Mock Paper Qu 7]
Overall, for this assessment I think my success level is:
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Low
O
High
O
O
O
Did your score match your estimated ‘success level’ ?
Skill
I
I
I
I
I
Qu
 
know y=ln x is the inverse function of y=ex
know the properties of the function ln x and its graph
know the properties of the function ex and its graph
can solve equations involving y=lnx
can solve equations involving y= ex
 Yippee!! - I got all the questions correct.
 I made mistakes and need to practise this topic more.
Top 3 topics I need to study further are:
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