## Divide by synthetic division, then write the division statement

### mathematics

##### Description

Math 100A Final Examination

No Graphing Calculator

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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