King Fahd University of Petroleum and Minerals Math 002- term 032

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King Fahd University of Petroleum and Minerals
Faculty of Science – Per-Year Program
Math 002- term 032
Sections: 4.2-4.3
Question1:
For the following functions:
a ) f ( x)  2  x  2
x
b) g ( x )  e  1
c) h( x)  1  log1/ 4 ( x  2)
d ) w( x)  ln x
1)
2)
3)
4)
5)
6)
7)
sketch the graph
find , if any, the x  intercept and the y  intercept
find the domain and the range
determine , if any, the interval(s) of increasing
determine , if any, the interval(s) of decreasing
find the asymptote(s)
find , if any, the inverse function
Question2:
a) Find the domain of the function f ( x)  ln(1  x )
b) Find the range of the function f ( x)  e x  2
2
c) Let f ( x)  e ( x 1) . Find f (ln 2)  f 1 (e)
Question3:
The graph of an exponential function y  f (x) passes through the
point (3,
1
) , find the value of f ( 2) .
64
Question4:
If a bacteria population starts with 100 bacteria and doubles every three
hours, then the number of bacteria after t hours is N (t )  100  2t / 3 .
When will the population reach 6400?
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