5. Using your graph from question 4, explain whether the average rate of change is increasing or decreasing, from left to right. Justify your observations by comparing the slopes calculated between at least three different pairs of points.

Question

vera_ewing · Answer

attachment

vera_ewing · Answer

@Nnesha Please help me!

vera_ewing · Answer

@bohotness Please help me!

anonymous · Answer

pick some points and find the slopes

vera_ewing · Answer

@pgpilot326 Can you please do it and then explain??

anonymous · Answer

i'll help you but I won't do it for you

vera_ewing · Answer

Ok so once I find the slopes, how do I justify?

vera_ewing · Answer

And the average rate of change is increasing from left to right, correct?

anonymous · Answer

what will happen is you'll start to see a pattern... start with 2 points to the left of the vertex

vera_ewing · Answer

?

anonymous · Answer

start with (-3. 0) and (-2, -5)  what is the slope of the line passing through those points?

vera_ewing · Answer

Hold on....

vera_ewing · Answer

So the slope is -5 @pgpilot326

anonymous · Answer

there you go!  now pick another point... say (-1, -8) and find the slope between it and the previous point (-2, -5)

vera_ewing · Answer

Ok, after I do that, how do I explain whether the average rate of change is increasing or decreasing, from left to right? And how do I justify my observations by comparing the slopes calculated between at least three different pairs of points?

anonymous · Answer

well, finish this one and you'll have found the slope between 2 different pairs of points.  if you continue in the same way until you have points on both sides of the vertex, you'll be super confident of the pattern and you'll have slopes for at least 3 different pairs of points.

anonymous · Answer

don't be afraid to do a little work to get some understanding

vera_ewing · Answer

@pgpilot326 So the slope is 13, now what?

anonymous · Answer

i got a different slope... please check your work

vera_ewing · Answer

Oh it's 3 right?

anonymous · Answer

not quite

vera_ewing · Answer

What did you get?

anonymous · Answer

-3

vera_ewing · Answer

So now can you help me do this: explain whether the average rate of change is increasing or decreasing, from left to right. Justify your observations by comparing the slopes calculated between at least three different pairs of points.

anonymous · Answer

the slope is the average rate of change betweeen those points.  how are you changing the points (are they moving to the right or left)?  how does the slope change, correspondingly?