Question

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 circle goes from (negative 3, 3) to (negative 2, 3). Each segment is one unit lower and 1 unit farther to the right than the previous segment. The right-most segment is just a closed circle at (3, negative 3).
Which function and domain could represent the given graph?

f(x) = 1 – ⌊x⌋; –3 < x < 3
f(x) = 1 + ⌊x⌋; –3 ≤ x ≤ 3
f(x) = –⌊x⌋; –3 ≤ x ≤ 3
f(x) = ⌊x⌋; –3 < x < 3

Answer 1

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owengee458

06/17/2020

Mathematics

College

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Which is the graph of y = ⌊x⌋ – 2? 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, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). 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 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, negative 5) to (negative 3, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 3) to (5, 3).

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Answer:

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 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2).

Step-by-step explanation:

The floor function graphs as horizontal segments 1 unit long, each 1 unit up from the segment to its left. It will have a closed circle at the left end of the segment, and an open circle at the right end.

Since 2 is subtracted from the floor of the x-value, the closed circle at the left end of the segment will have coordinates (x, x-2). The only offered choice meeting that condition is the 3rd choice listed here.

Answer 2

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Y Which function and domain could represent the given

graph?

32

O f(x) = 1 -[x]; -3 Of(x) = 1 + [2]; -3 3x33

Of(x) = -[x]; -3 SX3

O f(x) = [X]: -3 10

-3 -2 -12 -2.