Question

I need help on this plzzz I and not the best at math ​

Answer 1

See attachment for graph

Explanation:

Given

`f(x) = \left[\begin{array}{cc}-1&x<-1\\0&-1\le x \le -1\\1&x>1\end{array}\right`

Required

The graph of the step function

Before plotting the graph, it should be noted that:

`\le` and
`\ge` use closed circle at its end

`<` and
`>` use open circle at its end

So, we have:

`f(x) = -1,\ \ \ \ x < -1`

The line stops at -1 with an open circle

`f(x) = 0,\ \ \ \ -1 \le x \le 1`

The line starts at - 1 and stops at -1 with a closed circle at both ends

`f(x) = 1,\ \ \ \ x > 1`

The line starts at 1 with an open circle

The options are not complete, so I will plot the graph myself.

See attachment for graph