On a coordinate plane, a piecewise function has 2 connecting lines. The first line starts at (0, 0) and goes up and to the left through (negative 5, 5) with an arrow instead of an endpoint. The second line starts at (0, 0) and goes up and to the right through (5, 5), with an arrow instead of an endpoint. The graph represents the piecewise function: f(x) = What is the domain and range of the function? Domain: Range:

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Answer:

The graph represents the piecewise function:  

f(x) =  

What is the domain and range of the function?

Domain:

all real numbers

Range:

all real numbers greater than or equal to 0

Step-by-step explanation:

The function for the given question is [tex]|x|[/tex] , the domain is the all possible values of the real number and the range of the function is all values negative to positive infinite.

Given-

The first line start at point (0,0)

The first line ends at point (-5,5)

The second line start at point (0,0)

The second line ends at point (5,5)

The function of the graph can be given as,

[tex]f(x)=|x|[/tex]

  • Domain of the function-Domain is the all possible values of the variable given in the function. For the given question the domain for the given function is all real values.

  • Range- The complete set of all the possible result of the function  is called the range of the function. In the given question the value of the function is all values negative to positive infinite.

Thus the function for the given question is [tex]|x|[/tex] , the domain is the all possible values of the real number and the range of the function is all values negative to positive infinite.

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