8
AssignmentMultiple Choice

Step Functions

Question 8 • [INMT2] Integrated Math 2 Sem 1 (26-27)

Which mathematical situation can be graphed using a step function?

Answer
A
Each output is the place value of the ones digit for an input.
B
Each output is the remainder when an input is divided by 5.
C
Each output is the result of determining the absolute value of the input.
D
Each output is the result of rounding an input to the nearest ten.

Explanation

Rounding an input to the nearest ten gives the same output across intervals of inputs, then jumps to the next multiple of ten at a midpoint. For example, inputs from 5 up to (but not including) 15 round to 10, forming a horizontal step on the graph. This matches choice D, rounding an input to the nearest ten.

AI-written and checked against the verified answer.

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