# Function and Its Domain

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)=_____

https://brainmass.com/math/graphs-and-functions/function-domain-542153

#### 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 ...

#### 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.