Question

Which is the graph of the step function f(x)?

Answer 1

If f(x) =  − 5, what is f(8.6)?

3489

Answer 2

Answer:

The graph of the step function f(x) is represented by the 2nd graph.

Step-by-step explanation:

We are given the step function,

$\left\{\begin{matrix} -1,&x$.

So, from the options, we see that,

In 1st graph, the conditions $f(x)=-1,x$ and $f(x)=1,x>1$ is not satisfied.

In 3rd graph, the points -1,0,1 are included, which is not correct.

In 4th graph, $f(x)=-1,x$ and $f(x)=1,x>1$ is not satisfied.

Thus, we have,

The graph of the step function f(x) is represented by the 2nd graph as shown below.