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Semester Final

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Write the first 4 terms of the sequence.  Indicate whether the sequence is arithmetic or geometric.
a1 = –54; an = an – 1 + 7
A.
–54, –60, –66, –72; arithmetic
B.
–54, –378, –2646, –18522; geometric
C.
–54, –7.7, –1.1, –0.2; geometric
D.
–54, –47, –40, –33; arithmetic
 

 2. 

Joanna has $625 in her checking account but plans to withdraw $78 each month for her share of the apartment utilities. Which function represents the balance of her checking account, B, after x months without considering other withdrawals?
A.
B = 78 – 625x
B.
B = 625(78)x
C.
B = 625 – 78x
D.
B = 78x2 + 625x
 

 3. 

Describe the transformations of the linear parent function, f(x) = x, that will result in the graph of the linear function h(x) = 3(x + 2).
A.
vertical stretch by a factor of two and translation three units to the left
B.
vertical stretch by a factor of three and translation two units to the left
C.
vertical stretch by a factor of two and translation three units to the right
D.
vertical compression by a factor of one-third and translation two units to the right
 

 4. 

Which of the following equations represents the data given below?

mc004-1.jpg
A.
y = 60x3 + 26.67x2 + 9.33x + 6
B.
y = 14x3 + 16x2 + 19x + 6
C.
y = 3.33x3 + 17.33x2 + 33.33x + 6
D.
y = 0.33x3 + 6x2 – 3x + 6
 

 5. 

Describe the transformations of the cubic parent function, f(x) = x3 that will result in the function h(x) = –2(x + 1)3 – 9.
A.
vertical stretch by a factor of mc005-1.jpg, reflection over the y-axis, and translation 1 unit left and 9 units up
B.
vertical stretch by a factor of 2, reflection over the x-axis, and translation 1 unit left and 9 units up
C.
vertical stretch by a factor of 2, reflection over the x-axis, and translation 1 unit left and 9 units down
D.
vertical stretch by a factor of 9, reflection over the y-axis, and translation 1 unit right and 2 units down
 

Matching
 
 
Determine if each function represented is cubic, exponential, linear, or quadratic, then write a function relating the variables. Use the choices provided to determine your answers.
A.
grp001-1.jpg
C.
grp001-3.jpg
B.
grp001-2.jpg
D.
grp001-4.jpg
 

 6. 

Cubic
 

 7. 

Linear
 

 8. 

Quadratic
 

 9. 

y = 4x3 – 125
 

 10. 

y = –125(0.2)x
 



 
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