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

final_test_math_2.docx

final_test_for_math.docx

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Graded Assignment

Semester Test, Part 2

Show all your work.

(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.

Answer:

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

Answer:

2x² -5 x-3

-1

x-3

1. Which completes the syllogism?

All quadrilaterals have four sides.

All squares are quadrilaterals.

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)

identity property of addition

property of opposites

addition property of equality

associative property of addition

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.

On a typical day, she received about 8 e-mails.

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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