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Algebraic Expressions

Which of the following sets of ordered pairs represents a function?

{(-2,1),(-1,3),(2,1),(-2,2)}
{(-1,4),(1,4),(2,4),(-2,4)}
{(-1,3),(-1,4),(-1,5),(-1,6)}
{(2,2),(3,3),(4,4),(2,1)}

Use complete sentences to describe the relationship between sets A and B if A is a subset of or is equal to B.
A = {8}
B = {7, 8, 9}

Which of the following properties is a(b · c) = (a · b)c an example of?
associative property
commutative property
multiplicative identity
distributive property

Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is
m, a, e, i, o, u, t, h
the empty set
i
a, e, i, o, u, y

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is
{(7, -1),(2, -8),(0, 0),(6, 6)}
{-8, -1, 0, 6}
{0, 2, 6, 7}

Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C.
{}
{a}
{a, b, e, g, h, l, m, r, t, y}

If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B?
Set A has more elements in it than set B.
Set A is the set containing zero.
Set A is the empty set.
Both sets A and B are the empty set.

Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
{}
{a,e}
{a, b, e, g, i, l, o, r, u}

Which of the following properties is 5(3 + 2) = 15 + 10 an example of?
associative property
commutative property
multiplicative identity
distributive property

Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5).
-6
6
8

List all of the elements of set A if A = x is an integer and -6 ≤ x <0
{-6, -5, -4, -3, -2, -1, 0}
{-6, -5, -4, -3, -2, -1}
{-5, -4, -3, -2, -1}

User JPocoata
by
7.5k points

1 Answer

5 votes
1. (-1,4)(1,4)(-2,4)(2,4) is a function because it has no repeating x values.

2. A is a subset of B because everything in A is in B ?? not sure exactly what u r looking for

3. a(b*c) = (a*b)c.....associative property

4. the intersection of A and C is { empty set } because they have no letters in common

5. range is all ur y values....so the range of G is { 0,2,6,7 }

6. the union of B and C is { a,b,e,g,i,l,o,r,u }

7. set A is an empty set

8. the union of A and B is { a,b,e,g,i,l,o r,u }

9. 5(3 + 2) = 15 + 10....distributive property

10. f(x) = 3x - 1.......f(-2) = 3(-2) - 1 = -6 - 1 = -7
g(x) = -x + 6.....g(5) = -5 + 6 = 1
f(-2) + g(5) = -7 + 1 = -6 <==

11. { -6,-5,-4,-3,-2,-1 }
User Justlike
by
7.8k points

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