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# Function and Its Domain

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1. Determine whether the following relation represents a function. If the relation is a function then state domain and range?
{(4,6),(-2,6),(7,8),(4,13)}
Does the given relation represent a function?

2.Determine whether the following relation represents a function. If the relation is a function then state domain and range?
{(-1,-6),(2,-6),(3,-6),(4,-6)}
Does the given relation represents a function?

3.Find the domain of the function. Make sure answer is in interval notation.
g(x)=7x/x^2-4

4.Find the domain of the function. Make sure answer is in interval notation.
f(x)=5x square root of x-2

5. For the given function f and g find the folowing and state the domain of each result
f(x)=2x+1;g(x)=7x-1
a) (f-g)(x)=_____

6. For the given function f and g find the specified value of the following functions and state the domain of each one.
f(x)=x=10;g(x)=9x^2
a) (f+g)(1)=_____

##### Solution Summary

The solution gives detailed steps on determining if the given points can represent a domain. The steps for finding the domain and range for a specific function are given. Finally, the operations of addtion and substractions for two functions are explained.

##### Solution Preview

1. A function is a relation if there are NO two ordered pairs which have the same first coordinate.
for {(4,6),(-2,6),(7,8),(4,13)} , the answer is no because two pairs have ...

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