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Graph each relation or equation and find the domain and range.

Then determine whether the relation or equation is a function.

0,-1.1,2,-3,1.4,2,-3.6,8

Short Answer

Expert verified

The graph of the given relation is:

The domain of the given relation is -3.6,1.4,0,2 and the range is -3,-1.1,2,8. The relation is a function.

Step by step solution

01

– Definition of function, domain and range.

  • A relation is a function if each element of the domain is paired with exactly one element of the range and a relation is not a function if there exist an element in the domain paired with more than one element of the range.
  • The set of input values is known as domain.

The set of output values is known as Range.

02

– Draw the graph of the given relation.

The given relation is 0,-1.1,2,-3,1.4,2,-3.6,8.

Plot the ordered pairs 0,-1.1,2,-3,1.4,2,-3.6,8 on a coordinate plane as shown below:

03

– Domain and range of the given relation.

Input values of the relation are -3.6,1.4,0,2 and the output values are -3,-1.1,2,8.

Domain =-3.6,1.4,0,2

Range =-3,-1.1,2,8

04

– Check whether the relation is a function.

This relation is a function becauseeach number of the domain is paired with exactly one member of the range.

Thus, the domain of the given relation is -3.6,1.4,0,2 and the range is -3,-1.1,2,8. The relation is a function.

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