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]

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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