Describe how a piecewise function can be more useful in real-world scenarios as opposed to a singular linear or non-linear function. Provide your own example of a real-life scenario. Include algebraic and graphical representations in addition to a verbal description

You could use a piece wise function to simulate the speed someone is running at a given time in minutes.

for      s = 9 mph

for     s = 0 mph

for      s = 6 mph

Step-by-step explanation:

I can't do graphs right now but there's an idea

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."