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googoo4
10.03.2020 •
Mathematics
ALGEBRA 2!! 20 POINTS! Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = -3 and x - 3, the average rate of change is 0. Karly says that for the function, between x = -3 and x - 3, the graph goes up through a turning point, and then back down. In Algebra 1 graphs with a rate of change of 0 where flat lines but those don't have a turning point. Is there a function that has a graph such that Tucker and Karly can both be correct? Explain using complete sentences.
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Ответ:
The difference between Tucker and Karly's take is that Tucker's solution is analytical while Karly's is graphical. But both are correct either way.
For Tucker's solution, let's say at x=-3 the value for y is 4, and at x=3, the value of y is still 4, then the average rate of change or slope is 0. Note that the slope of the curve is Δy/Δx. Since there is no change for Δy, the slope is zero.
For Karly's solution, even if the curve travels high or low but would have the same elevation of x=-3 and x=3, the average rate of change is still zero. It is actually just same with Tucker's but Karly just verbalizes her solution that was observed visually.
Hope this helps hun!!!
Ответ:
There are three steps.
The steps are at 8 from 0 to 1, at 12 from 1 to 2, and at 16 from 2 to 3.
Closed circles are on the left side of each step, and open circles are on the right.
Step-by-step explanation:
These are the answers Edge gives