Smart people Needed lol? Need math help?

Question

Find the domain and range for each relation
A. {(-3,-7),(-1,3),(0,-1),(2,3),(4,7)}
B. {(-5,-4),(-4,2),(0,2),(1,3)(1,4)}

Is the relation in problem A a function?
Is the relation in porblem B a function?

Answer 1

Let's look at A first
The domain is the set of all first elements of the
pairs. So it is {-3,-1,0,2}
The range is the set of all second elements of the
pairs or {-7,3,-1}
A relation is a function if no 2 ordered pairs
have the same FIRST element.
So relation A is a function.
Now work out the domain and range for relation B. It is not
a function because ... .

Answer 2

A relation is a set of ordered pairs where the first components of the ordered pairs are the input values and the second components are the output values.

Function
A function is a relation that assigns to each input number EXACTLY ONE output number.

Be careful. Not every relation is a function. A function has to fit the above definition to a tee.

Domain
The domain is the set of all input values to which the rule applies. These are called your independent variables. These are the values that correspond to the first components of the ordered pairs it is associated with.

Range
The range is the set of all output values. These are called your dependent variables. These are the values that correspond to the second components of the ordered pairs it is associated with.




(A): Find the domain and range of the relation. Also, determine whether the relation is a function. {(-3, -7),(-1,3),(0,-1),(2,3)}

Domain
We need to find the set of all input values. In terms of ordered pairs, that correlates with the first component of each one. So, what do you get for the domain?
If you got {-3, -1, 0, 2}, you are correct!

Range
We need to find the set of all output values. In terms of ordered pairs, that correlates with the second component of each one. SO, what do you get for the range? {-7, 3, -1}

Is this a function or not?
We need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)?
(A) Is not a function

(B). {(5, -4),(-4, 2),(0,2),(1,3)}
d= {5, -4, 0, 1}
r= {-4, 2, 3}
Not a function

I hope that this has been helpful for you!

Answer 3

The domain of a function is all of the input values, The range of a function is all of the output values.

For A: The Domain is {-3,-1,0,2,...}
The Range is {-7,3,-1,3,...}

For B: The Domain is {-5,-4,0,1,...}
The Range is {-4,2,3,...}

However A is a function, and B is not because in B, you have the input of 1 going to 2 different outputs.

Answer 4

i cant remember this stuff kid sorry look in your text book, i think the domain is like each !st number in the set and the range are the second ones

i.e

(-3,-1,0,2) domain for problem one
-7,3,-1,3 range for problem one


but im not sure.. and i never understood functions sorry

Answer 5

domain = your x-values. Range = your y-values. As to function, plot the points and see yourself. If you have a graphing calculator, let it do it for you.

Answer 6

.....ahhhhhh!