Math 100A Final Examination
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MUST SHOW WORK
[100
marks]
1)
Divide by synthetic division, then
write the division statement. [5]
2)
What value of m will ensure that x+1 is a
factor of [3]
3)
Multiply, then simplify =
[3]
4)
Factor completely: [4]
5) Determine the asymptote(s)
in each case [3each]

a)

b)

c)

6) If Determine: [must simplify]
[3each]
a) f(-1)=
b) f(-x)=
c) -f(x)=
d) f(2x)=
e) 2f(x)=
7)
Determine the inverse: [4]
8) Solve the exponential
equation [5]

9) Solve the logarithmic
equation [4]
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10)
If [3each]
a) Shift 3 units up and 2
units left
![]()
b) Horizontal compression and
vertical expansion of
11)
Determine the exact value
(diagram required) [3each]

a)

b)
12)
Simplify: [2each]
![]()
a)

b) 4

c)
d)
13)
Consider the periodic fuction:
[2
each]
Determine:
a) Amplitude
b) Vertical shift
c) Horizontal shift
d) Period
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