Question

Which exponential function goes through the points (1, 8) and (4, 512)?

f(x) = 4(2)x

f(x) = 8(2)-x

f(x) = 4(4)-x

f(x) = 2(4)x

Answer 1

The last one.

You can graph them here: https://www.desmos.com/calculator

Answer 2

Welcome to Open Study! You can give medals by clicking 'Best Response'.

Answer 3

thanks

Answer 4

@iGreen

Answer 5

The function f(x) is shown below:

f(x) = (4)x + 5

The function f(x) is shifted to the right by 13 units. Which of the following best represents the new function?

f(x) = (4)x - 8

f(x) = (4)x + 13

f(x) = (4)x + 18

f(x) = (4)x - 13

Answer 6

Sabrina is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Sabrina's inputs and the corresponding outputs displayed by the calculator:

(1, 6), (2, 11), (3, 16), (4, 21)

Which of the following functions best represents the rule that the calculator uses to display the outputs?

f(n) = 5n - 1

f(n) = 5n + 1

f(n) = 4n + 3

f(n) = 4n - 3

Answer 7

Wendy initially has 6 hours of pop music and 3 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 9% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months?

f(x) = 6(1.09)x + 3

f(x) = 3(1.09)x + 6

f(x) = 6(0.09)x + 3

f(x) = 3(0.09)x+ 6

Answer 8

The function f(x) = (1.006235)12x models the monthly interest that a bank offers to Dan after x years. Dan converts the function to have x isolated in the exponent. What is the approximate rate of growth?

1%

8%

10%

12%

Answer 9

The function below shows the number of students of a school who enrolled for ballet classes. Let f(x) represent the total number of students who enrolled for the classes after x years:

f(x) = 12(1.06)x

The average rate of change in the number of students who enrolled for ballet classes from the third to the fifth year is ________students per year.

Round your answer to the nearest whole number.

Answer 10

thats what i need help with

Answer 11

That's a lot of questions..

Answer 12

I think you got the question to #1 right..

Answer 13

ok what about all the other ones

Answer 14

The function f(x) is shown below:

f(x) = (4)x + 5

The function f(x) is shifted to the right by 13 units. Which of the following best represents the new function?

f(x) = (4)x - 8

f(x) = (4)x + 13

f(x) = (4)x + 18

f(x) = (4)x - 13 <-- Answer

Answer 15

yes your answer is correct

Answer 16

Sabrina is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Sabrina's inputs and the corresponding outputs displayed by the calculator:

(1, 6), (2, 11), (3, 16), (4, 21)

Which of the following functions best represents the rule that the calculator uses to display the outputs?

f(n) = 5n - 1

f(n) = 5n + 1 <-- Answer

f(n) = 4n + 3

f(n) = 4n - 3

Answer 17

I can't do the radicals one's..They're too difficult..

Answer 18

Wendy initially has 6 hours of pop music and 3 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 9% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months?

f(x) = 6(1.09)x + 3 <-- Answer

f(x) = 3(1.09)x + 6

f(x) = 6(0.09)x + 3

f(x) = 3(0.09)x+ 6

Answer 19

The function f(x) = (1.006235)^12x models the monthly interest that a bank offers to Dan after x years. Dan converts the function to have x isolated in the exponent. What is the approximate rate of growth?

1%

8% <-- Answer

10%

12%

Answer 20

Is the 'x' an exponent in this? f(x) = 12(1.06)x

Answer 21

@1111111

Answer 22

You can give me a medal by clicking 'Best Response'. @1111111

Answer 23

Which one is that?

Answer 24

@iGreen this is number 5

Answer 25

The answer to that one is C.

Answer 26

AND WHAT ABOUT ALL THE OTHER ONES

Answer 27

oops sorry i hit the caps locks by accident

Answer 28

Does "f(x) = 12(1.06)x" look like this? \(f(x) = 12(1.06)^x\) or like this? \(f(x) = 12 (1.06)x\)

Answer 29

f(x)=12(1.06)^x

Answer 30

Okay

Answer 31

(3, 14.292) (5, 16.059)

\(m = \Large\frac{y2-y1}{x2-x1}\)

\(m = \Large\frac{16.059-14.292}{5-3}\)

\(m = \Large\frac{1.76700}{2}\)

\(m = 0.8835\)

Answer 32

Round to the nearest whole number = 1.

Answer 33

http://assets.openstudy.com/updates/attachments/53ad8df3e4b0a819ab13fe11-1111111-1403883701340-screenshot20140627at11.30.40am.png

This is correct

Answer 34

thanks and what about the last two questions

Answer 35

And I don't know the last one..sorry.

Answer 36

ok thats fine

Answer 37

and what about hte one where iut says evaluate 5 blah blah blah

Answer 38

@iGreen what about this one

Answer 39

i dont get this one

Answer 40

I don't know it either..