LaynaMae 2 years ago Fan and medal will be awarded to whoever HELPS me :)

1. LaynaMae

2. ganeshie8

before we compare and contrast, lets try and understand the given functions a bit :)

3. ganeshie8

1) Observe that the first function value \(f(x)\) is increasing as \(x\) is increasing

4. ganeshie8

2) Observe that the second function \(g(x)\) is FALLING to the right, that is, dippind down as \(x\) is increasing

5. ganeshie8

can you make out whether the remaining two functions are falling(decreasing) or rising(increasing) ?

6. LaynaMae

Okay hold on one minute

7. ganeshie8

take ur time :) see if u can figure out whether they're falling/rising. if u cant, its okay, il tell u anyways :)

8. LaynaMae

Are they falling ? :(

9. ganeshie8

yes third function is falling, cuz, it has a NEGATIVE slope

10. ganeshie8

read the fourth function statement once,

11. ganeshie8

it says, cameron is ADDING some stuff to his collection. That means, number of hats are increasing wid time, right ?

12. LaynaMae

Yess

13. ganeshie8

so, fourth function is increasing. we're DONE. lets put watever we observed so far, into one single paragraph.

14. LaynaMae

Do you want me to do that ? :o Lol

15. ganeshie8

yes :) give it a try if u can :) its tough i knw... but give a quick try if u can :)

16. LaynaMae

Hah okay one moment

17. LaynaMae

Observe that the first function value f(x) is increasing as x is increasing and observe that the second function g(x) is falling to the right. The third function is falling because of its negative slope and the fourth function is increasing because it says Cameron is adding things to his collection.

18. LaynaMae

Is that good or too short ? :(

19. ganeshie8

that looks okay, but its missing one thing that the q is stressing us to focus on : slope and y intercept

20. LaynaMae

Oh :(

21. ganeshie8

First function value f(x) is increasing as x is increasing. Also the slope of this first function is not fixed. its y-intercept is also not listed in the table as there is not value given when x=0. Second function g(x) is falling to the right. so it has a negative slope. from the graph, the line is cutting y-axis at -3, so its y intercept is -3. since it has fell 4 units when moving right by 1 unit, its slope must be -4. so its equation may look like \(g(x) = -4x-3\) The third function is falling because of its negative slope(-4), since c = 3, it cuts y axis at 3 which is the y intercept. Fourth function is increasing because it says Cameron is adding things to his collection. since he started wid 3 toys, y intercept is 3. since he adds 4 toys to his collection every year, slope = 4. so the equation for fourth function is \(j(x) = 4x+3\)

22. LaynaMae

Do I add all of that into my answer ? :o

23. ganeshie8

thats lotof information, see if some parts of it makes sense. ask if something doesnt make sense

24. ganeshie8

my previous reply is the complete solution, i want u go thru it and digest if possible :)

25. LaynaMae

Haha that's fine . I think i've completed the question . Thank you so much for your help :))

26. ganeshie8

oh you've already finished this q ok np :)

27. LaynaMae

:)