Question

Determine the average rate of change of the function, f(x)=3^x over the interval x=3 to X=4.

Answer 1

my guess here is from 3 to 4, you take the slope formula because a slope is a rate of change from one number to another, so take
(y2-y1)/(x2-x1)= m
(3^4-3^3)/(4-3) = 81-27/1=54

Answer 2

where did you get 3^3 and 3^4

Answer 3

@Sukhvir, all you have to do is find both (x,y) coordinates. Remember y = f(x) and if you have any two points, you can calculate the slope using the slope formula.

Answer 4

but i only have two x's?

Answer 5

y1-y2/3-4 ?

Answer 6

Remember, y = f(x) therefore

y = 3^x

input the x's into that formula to find the y's.

No more clues for you.

Answer 7

y=3^(3-4)

Answer 8

y=3^(1)

Answer 9

therefor y=3

Answer 10

Why do you keep doing exactly the wrong thing?

Answer 11

Input the x's into the formula ONE AT A TIME. You have TWO x's. You need TWO y's

Answer 12

so i am using y2-y1/x2-x1

Answer 13

or y=mx+b

Answer 14

Input the x's into the formula y = 3^x ONE AT A TIME to get:

y = 3^(3)
y = 3^(4)

I can't believe I had to make it that obvious.

Answer 15

Let's see if you can actually calculate the y values

Answer 16

27-81/3-4

Answer 17

=54

Answer 18

Would it not be easier to do

\(\frac{81 - 27}{4-3}\)

Answer 19

y=(-54)

Answer 20

Anytime, you can avoid dealing with negatives, you should avoid.

Answer 21

81 - 27 = 54
4 - 3 = 1

54/1 = 54

You had it right the first time. I just meant for you to avoid the negatives when necessary.

Answer 22

ok thanks a lot man really appreciated

Answer 23

Why do you confuse yourself so much?

Answer 24

Confusing yourself is not necessary to solve math problems.

Answer 25

im not that confident with my math skills
i

Answer 26

i question my methods

Answer 27

You should.