which is the graph of the step - function $f(x)$?\n$f(x)=\\begin{cases}-1, & x < - 1 \\\\0, & -1\\leq…

Explanation:

Step1: Analyze (x < - 1)

For (x < - 1), (f(x)=-1). This is a horizontal line (y = - 1) with an open - circle at (x=-1) since (x=-1) is not included in this interval.

Step2: Analyze (-1\leq x\leq1)

For (-1\leq x\leq1), (f(x) = 0). This is a horizontal line (y = 0) with closed - circles at (x=-1) and (x = 1) since these endpoints are included in the interval.

Step3: Analyze (x>1)

For (x>1), (f(x)=1). This is a horizontal line (y = 1) with an open - circle at (x = 1) since (x = 1) is not included in this interval.

Answer:

The correct graph is the one that has a horizontal line (y=-1) for (x < - 1) with an open - circle at (x=-1), a horizontal line (y = 0) for (-1\leq x\leq1) with closed - circles at (x=-1) and (x = 1), and a horizontal line (y = 1) for (x>1) with an open - circle at (x = 1). Without specific labels on the given graphs, you would identify the graph based on these characteristics.