Question

Help please!
Calculate the average rate of change of f(x) over the interval [-4, -1] using what formula?
The value of f(-1) is?
The value of f(-4) is?
The average rate of change of f(x) over the interval [-4, -1] is ?

Answer 1

@ganeshie8 can you help me with the formula?

Answer 2

avg rate of change is calculated by finding the slope of the line connecting the 2 end points

\[= \frac{f(b) - f(a)}{b-a}\]

Answer 3

is it f(-1)-f(-4)/3 @dumbcow

Answer 4

@kirbykirby can u help please

Answer 5

yeah that works

Answer 6

so the value of -1 is 3?

Answer 7

@Preetha can u help me please

Answer 8

lol im helping you, just get the y values from the graph

Answer 9

and the value of f(-4) is

Answer 10

im not sure i understand how to read it

Answer 11

go along the x-axis til you hit -4

then go straight down until you hit the line

what is y-value?

Answer 12

it intercepts 0

Answer 13

no if y=0 then you are on the x-axis

the line does not cross x-axis at x=-4

Answer 14

3

Answer 15

put your finger on the point on the line where x value is -4

then look at what the y-value is

Answer 16

-3

Answer 17

correct

Answer 18

so f(-1) is 3 and f(-4) is -3

Answer 19

yes

Answer 20

so to calculate the rate of change how do I write the equation

Answer 21

i posted it earlier

Answer 22

you even posted it yourself

" is it f(-1)-f(-4)/3 @dumbcow "

Answer 23

yes

Answer 24

so I multiply by 3 and then get -5

Answer 25

sorry im confused

Answer 26

huh?? why do you do that

Answer 27

f(-1) = 3

f(-4) = -3

plug those in

f(-1) - f(-4) / 3 = (3 - (-3))/3 = ?

Answer 28

so my change of reate would be 2?

Answer 29

yep

you can even check it on the graph using rise/run

the slope = rise/run
pick any 2 points on line and if you go up 2 and right 1 you will be back at the line

Answer 30

Thank you I think I get it. Need to erite doen the steps. Thanks so much.

Answer 31

*write :)