Question

The solid line starts with a closed circle at left parenthesis negative 3 comma 1 right parenthesis and ends with an open circle at left parenthesis negative 1 comma 1 right parenthesis. The dotted line starts with a closed circle at left parenthesis 1 comma 1 right parenthesis and ends with a closed circle at left parenthesis negative 1 comma negative 3 right parenthesis.


Create a piecewise function that represents the graph.

(1 point)
Responses

f(x)={1,2x−1,−3<x≤−1−1<x<1

f left parenthesis x right parenthesis equals left brace Start 2 by 2 Matrix 1st Row 1st Column 1 comma 2nd Column negative 3 less than x less-than-or-equal-to negative 1 2nd Row 1st Column 2 x minus 1 comma 2nd Column negative 1 less than x less than 1 End Matrix

f(x)={1,2x, −3≤x<−1−1≤x≤1

f left parenthesis x right parenthesis equals left brace Start 2 by 2 Matrix 1st Row 1st Column 1 comma 2nd Column negative 3 less-than-or-equal-to x less than negative 1 2nd Row 1st Column 2 x comma 2nd Column negative 1 less-than-or-equal-to x less-than-or-equal-to 1 End Matrix

f(x)={1,2x−1,−3≤x<−1−1≤x≤1

f left parenthesis x right parenthesis equals left brace Start 2 by 2 Matrix 1st Row 1st Column 1 comma 2nd Column negative 3 less-than-or-equal-to x less than negative 1 2nd Row 1st Column 2 x minus 1 comma 2nd Column negative 1 less-than-or-equal-to x less-than-or-equal-to 1 End Matrix

f(x)={x+1,2x−1, −3≤x<−1−1≤x≤1

Answer 1

f(x) = { 1, for -3 ≤ x < -1
2x - 1, for -1 ≤ x ≤ 1 }

This matches the closed circle at (-3,1), open at (-1,1), and the segment through (-1,-3) to (1,1).