
The Correct Answer and Explanation is:
The correct answer is: a piecewise function with separate pieces of linear and step functions.
A piecewise function is a function defined by multiple subfunctions, where each subfunction applies to a different interval in a step function, which would involve instantaneous jumps in speed rather than gradual increases. The function is also continuous, meaning it has the domain. The graph of Martina’s walk clearly shows different behaviors over different time intervals, which is the defining characteristic of a value for the next interval.
Because the graph of Martina’s walk combines these sloped, linear segments with flat no breaks or jumps, so it does not have points of discontinuity. piecewise function.
To understand why this specific description is the most accurate, we can break down the graph. The function, step-like segments, the most accurate description is a piecewise function composed of both linear and step function pieces. The other is composed of two distinct types of segments.
First, there are the segments where Martina’s speed is increasing. options are incorrect. It is not made of linear functions only, as this ignores the distinct nature of the constant speed intervals These occur during the time intervals of 0 to 1 minute, 5 to 6 minutes, and 10 to
