Relations are subsets of products <span><span>A×B</span><span>A×B</span></span> where <span>AA</span> is the domain and <span>BB</span> the codomain of the relation.
A function <span>ff</span> is a relation with a special property: for each <span><span>a∈A</span><span>a∈A</span></span> there is a unique <span><span>b∈B</span><span>b∈B</span></span> s.t. <span><span>⟨a,b⟩∈f</span><span>⟨a,b⟩∈f</span></span>.
This unique <span>bb</span> is denoted as <span><span>f(a)</span><span>f(a)</span></span> and the 'range' of function <span>ff</span> is the set <span><span>{f(a)∣a∈A}⊆B</span><span>{f(a)∣a∈A}⊆B</span></span>.
You could also use the notation <span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈f</span>]</span>}</span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈f</span>]</span>}</span></span>
Applying that on a relation <span>RR</span> it becomes <span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈R</span>]</span>}</span><span>{b∈B∣∃a∈A<span>[<span>⟨a,b⟩∈R</span>]</span>}</span></span>
That set can be labeled as the range of relation <span>RR</span>.
Answer:
I think 58'is right answer
Step-by-step explanation:
For a parabola y = ax² + bx + c, the vertex occurs at x = -b / (2a).
For f(x), a = -2, b = 0, and c = 9. So the vertex is at:
x = -0 / (2×-2)
x = 0
At x=0:
f(0) = -2(0)² + 9
f(0) = 9
The maximum of g(x) is at 11.
So g(x) has a greater maximum value than f(x).
Answer:
$3.51
Step-by-step explanation:
1 pound is $2.39 so divide by 2 and round up to the nearest whole number which is $1.12. Add $1.12(The cost of 0.5 pounds) to $2.39(The cost of 1 pound) to get $3.51 as your total.
5. since .6 is greater than 5, we round up.
