The step function f(x) is graphed. On a coordinate plane, a step graph has horizontal segments that are each 2 units 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 3, negative 3) to (negative 1, negative 3). Each segment is 2 units higher and 2 units farther to the right than the previous segment. The right-most segment goes from (3, 3) to (5, 3). What is the value of f(−1)? -3 -1 0 1
Answers
Given : The step function f(x) is graphed
step graph has horizontal segments that are each 2 units long
To Find : Domain of f(x)
f(-1)
Solution:
The left-most segment goes from (- 3, -3) to (-1, -3).
The right-most segment goes from (3, 3) to (5, 3).
The left end of each segment is a closed circle.
Hence Left most point ( - 3 , - 3)
-3 is included
The right end of each segment is an open circle
Hence right most point ( 5 , 3)
5 is not included
Hence Domain of f(x) is - 3 ≤ x < 5
{x| –3 ≤ x < 5}
f(-3) = - 3
f(-1) = - 1
f(1) = 1
f(3) = 3
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Answer:
Its negative one
-1
Step-by-step explanation:
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