Question

PLEASE HELP I'LL MEDAL
What is the average rate of change of f(x), represented by the graph, over the interval [-1, 2]?
Graph
https://cdn.ple.platoweb.com/EdAssets/ca8754551a8c4f39b660b45b8d4072f9?ts=635319036502430000
A.-2.5
B.-2
C.2.5
D.3
E.6

Answer 1

Hi, do you know the average rate of change formula?

Answer 2

No can u tell me

Answer 3

Yeah, so for the interval from -1 to 2, it's A(x) = f(2) - f(-1)/ 2-(-1)

Answer 4

Do you have any functions included in the question?

Answer 5

OK so I divide f (2)-f (1)/2-(-1)

Answer 6

Yeah, you know what the functions are though, right? They have to tell you.

Answer 7

Nah that's all they gave me

Answer 8

No graph?

Answer 9

Wait I put a link it should take u there^

Answer 10

Ah, I see, srry i didnt notice it

Answer 11

oh...

Answer 12

U know the shower tho?

Answer 13

Answer*

Answer 14

Cuz when i divide it it gave me f

Answer 15

no, not these graphs D:

Answer 16

Is koo thanks anyways

Answer 17

Ask zepdrix, he's a genius

Answer 18

And online

Answer 19

;)

Answer 20

draw a vertical line through x = -1 on the x axis

see attached

where does the red vertical line cross the function curve? at what (x,y) point?

Answer 21

5?

Answer 22

I think you mean -5 and you're looking at the y coordinate it seems

Answer 23

Yeah

Answer 24

so the point (-1,-5) is on the function curve

Answer 25

now do the same for x = 2

where does the green line cross the function curve?

Answer 26

5 right

Answer 27

look closely

Answer 28

2.5

Answer 29

yes 2.5

Answer 30

so (-1,-5) is one point on the curve. Call this point A
(2,2.5) is another point on the curve. Call this point B

find the slope of the line AB

Answer 31

-0.83?

Answer 32

Use the slope formula
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]

Answer 33

(x1,y1) = (-1,-5)
(x2,y2) = (2, 2.5)

Answer 34

-8

Answer 35

(x1,y1) = (-1,-5)
(x2,y2) = (2, 2.5)
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]
\[\Large m = \frac{2.5-(-5)}{2-(-1)}\]
\[\Large m = \frac{2.5+5}{2+1}\]
\[\Large m = \underline{ \ \ \ \ \ \ \ \ \ \ \ }\]
Fill in the blank. Tell me what you get.

Answer 36

2.5

Answer 37

yep that's the slope of line AB

Answer 38

Ight thanks

Answer 39

the slope AB is the same as the average rate of change from x = -1 to x = 2