The step function f(x) is graphed. What is the value of f(-1)?

Solution:

We have to find the value of f(-1)

From the graph,

The first interval [-3, -1] is closed at -3 but open at -1, which means that when the value of x is between -3 and -0.999..,the value of f(x) is -3.

In other words, the function for the first piece is f(x) = -3, 3 ≤ x

The second interval [-1, 1] is closed at -1 but open at 1, which means that when the value of x is between -1 and 0.999…, the value of f(x) is -1.

In other words, the function of the second piece is f(x) = -1, 1 ≤ x

Therefore, the value of f(-1) is 1.

The step function f(x) is graphed. What is the value of f(-1)?

Summary:

The step function f(x) is graphed. The value of f(-1) is 1.