Question

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)?

Answer 1

Given :  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.  

To Find : Value of f(0)

Solution:

The left end of each segment is a closed circle ( Means included)

The right end of each segment is an open circle ( Hence not included)

The left-most segment goes from (negative 5, 3) to (negative 4, 3)

-5 , 3   included point

The right-most segment goes from (2, - 4) to (3, -4).

2 , - 4  included point

x     y

-5 , 3

-4   2

-3    1

-2    0

-1     -1

0     -2

1      -3

2     -4

Domain =  -5  ≤ x < 2

hence f(0)  =  - 2

value of f(0) = - 2

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