The graph of the piecewise function f(x) is shown.

what is the domain of f(x)?

{x | 1 < x < 5}
{x | 1 < x < 5}
{y | −4 < y < 1}
{y | −4 < y < 1}

Domain is {x| 1<=x <5}

Step-by-step explanation:

The graph of the piecewise function f(x) is shown.

In the given graph of piecewise function

Domain is the set of x values for which the function is defined

first graph is from x= 1 to 3, 3 is excluded

second graph is from x= 3 to 5, 5 is excluded

So the graph of x values is from x=1 to 5 ( 5 excluded because we have open circle at 5)

Domain is {x| 1<=x <5}

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

option: d is correct

step-by-step explanation: