# math assignment urgent

FINAL TEST MATH 2.docx final test for math.docx
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final_test_for_math.docx

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Semester Test, Part 2
(12 points)
1. Use the functions f(x) = 3x  4 and g(x) = x2  2 to answer the following questions.
a. Complete the table.
x
f(x)
3
1
0
2
5
b. Complete the table.
x
g(x)
3
1
0
2
5
c.
For what value of the domain {3, 1, 0, 2, 5} does f(x) = g(x)?
Score
2. Use the relation {(4, 3), (1, 0), (0, 2), (2, 1), (4, 3)} to answer the following questions.
a. Graph the relation.
b. State the domain of the relation.
c.
State the range of the relation.
d. Is the relation a function? How do you know?
3. 3. Complete Parts a, b, and c.
a.
Graph the function f(x) = |x + 2|.
b.
Translate the graph according to the rule
c.
Write the function equation for the graph in Part b. Name the function g(x).
4. 4. Complete.
a. Factor: 2×2  5x  3.
b. Subtract: 3x-2
2x² -5 x-3
-1
x-3
1. Which completes the syllogism?
Therefore, ________________
(Points : 4)
all polygons are squares.
all squares are parallelograms.
all squares have four sides.
all squares are polygons.
Question 2. 2. Refer to the following conditional statement:
If a and b are odd integers, then a + b is an even integer.
Which shows the hypothesis?
(Points : 4)
a and b are odd integers
a + b is an even integer
a and b are not odd integers
a + b is not an even integer
Question 3. 3. Refer to the following conditional statement:
If a and b are odd integers, then a + b is an even integer.
Which shows the conclusion?
(Points : 4)
a and b are odd integers
a + b is an even integer
a and b are not odd integers
a + b is not an even integer
Question 4. 4. Refer to the following conditional statement:
If a and b are odd integers, then a  b is an odd integer.
Which is the converse of the statement?
(Points : 4)
If a and b are not odd integers, then a  b is not an odd integer.
If a  b is an odd integer, then a and b are odd integers.
a and b are odd integers
a  b is an odd integer
Question 5. 5. Refer to the following conditional statement:
If a and b are odd integers, then a  b is an odd integer.
Which is the inverse of the statement?
(Points : 4)
If a and b are not odd integers, then a  b is not an odd integer.
If a  b is an odd integer, then a and b are odd integers.
a and b are odd integers
a  b is an odd integer
Question 6. 6. Refer to the following conditional statement:
If a and b are odd integers, then a + b is an even integer.
Which is the contrapositive of the statement?
(Points : 4)
a + b is an even integer
If a + b is not an even integer, then a and b are not odd integers.
If a and b are not odd integers, then a + b is not an even integer.
If a + b is an even integer, then a and b are odd integers.
Question 7. 7. What kind of reasoning is Butch using?
Butch notices that 24 = 20 + 4, 56 = 50 + 6, 38 = 30 + 8, and 72 = 70 + 2, so he thinks it is
likely that he can write every number divisible by 2 as the sum of two numbers divisible by 2.
(Points : 4)
inductive
deductive
conclusion
hypothesis
Question 8. 8. What kind of reasoning is used here?
If a = b and c = d, then a  c = b  d.
(Points : 4)
inductive
deductive
conclusion
hypothesis
Question 9. 9. Find a counterexample that disproves the following statement:
For all integers
(Points : 4)
x=1
x=5
x = 100
x = 2
Question 10. 10.
What is the reason for Statement 3?
(Points : 4)
property of opposites
Question 11. 11. Which is the contrapositive of the conditional statement, and correctly shows
if the conditional statement and the contrapositive are true or false?
If 6x = 24, then x = 4.
(Points : 4)
If x = 4, then 6x = 24. The conditional statement and the contrapositive are both false.
If 6x = 24, then x = 4. The conditional statement and the contrapositive are both true.
If x = 4, then 6x = 24. The conditional statement is false, and the contrapositive is true.
If x ? 4, then 6x ? 24. The conditional statement and the contrapositive are both true.
Question 12. 12. The stem-and-leaf plot shows the number of e-mails a business woman
received each day during her vacation.
Which conjecture is supported by the data?
(Points : 4)
She was on vacation for 30 days.
She never received fewer than 9 e-mails in one day.
She never received more than 30 e-mails in one day.

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