The step function f(x) is graphed. On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, 3) to (negative 4, 3). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (2, negative 4) to (3, negative 4). What is the value of f(0)?

Respuesta :

Considering that the function f(x) is a step function, the value of f(0) is -2

How to determine the value of f(0)?

The given parameters are:

  • Left-most segment = (-5, 3) to (-4, 3)
  • Right-most segment = (2, -4) to (3, -4).

Using the above segments, we have the following table of values

x     y

-5  3

-4   2

-3    1

-2    0

-1     -1

0     -2

1      -3

2     -4

In the above table, we have:

x      y

0     -2

This means that:

f(0) = -2

Hence, the value of f(0) is -2

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