Question

For which intervals below is the average rate of change less than or equal to zero?

Intervals A and B only
Interval B and C only
Intervals A and C only
Intervals A, B and, C

Answer 1

Are there any numbers bigger than 0 for all those intervals?

Answer 2

Look at the interval numbers

Answer 3

Is there any number you can plug in for x that is bigger than 0

Answer 4

Interval
A -13 ≤ x ≤ -10
B -5 ≤ x ≤ 0
C -10 ≤ x ≤ -2

Answer 5

Yes so is there any number that is bigger the 0 that you can plug in for x say you plug in 3 for 0 is any of those true?

Answer 6

Is 3 bigger than -10 0 and -2

Answer 7

yes

Answer 8

Yes so is -10 0 and -2 smaller or equal to 0 that's what they are asking you :)

Answer 9

oh i see now

Answer 10

So your answer would be?

Answer 11

Intervals A and C only right?

Answer 12

omg I'm sorry I rate the question wrong :o it's asking when the slope is less than 0 or 0 so you would be looking at the interval -13,-10 for x values, so is your slope negative positive or 0 a way you can do this is look from left to right and see if it is going uphill or downhill

Answer 13

down hill

Answer 14

Correct so that's a negative solve and now look at next interval uphill or downhill?

Answer 15

Slope

Answer 16

up hill

Answer 17

Yes what about the last one?

Answer 18

This one is tricky because we're going down and coming back up at the same pace we will have a slope of 0 because when you do the average if you subtracted and add the same thing and divide it by 2 you will just get 0

Answer 19

We just know since a was a negative slope we will always have a negative slope and since b was a positive slope we always had a positive slope, so what is your answer?

Answer 20

Intervals A, B and, C

Answer 21

No we are looking for negative slope or 0 because they are looking for less or equal to 0 and b was a positive slope

Answer 22

@gnorris

Answer 23

hmm..

Answer 24

Which slopes were negative

Answer 25

We know A right?

Answer 26

yes

Answer 27

Because downfall is - slope and that is a slope smaller than 0

Answer 28

Yes, and what other interval did we get a slope of 0

Answer 29

so it has to be a and b right

Answer 30

No b as positive c was the slope with 0

Answer 31

We don't want a positive slope for this question

Answer 32

And b was a positive because it was going uphill

Answer 33

oh i see i was thinking opposite

Answer 34

That's okay :)

Answer 35

So A and C are your answers does that make sense?

Answer 36

so that makes it "a" and "c"then because "b" is positive and we need negative intervals right

Answer 37

Negative or 0 for the slopes when looking at the intervals

Answer 38

oops lol didn't see your reply but yes i get it

Answer 39

Good :)

Answer 40

I understand the concept way better now thank you so much

Answer 41

No problem :)

Answer 42

:) made my day honestly was struggling on this all day