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anonymous

  • one year ago

x g(x) −2 2 −1 −3 0 2 1 17 Which of the following is a true statement for this function? The function is increasing from x = −2 to x = −1. The function is increasing from x = 0 to x = 1. The function is decreasing from x = −1 to x = 0. The function is decreasing from x = 0 to x = 1.

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  1. anonymous
    • one year ago
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    I think its A

  2. anonymous
    • one year ago
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    @LynFran

  3. anonymous
    • one year ago
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    @Luigi0210

  4. anonymous
    • one year ago
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    it's the second one, because the output of 0=2 and the output of 1=17, so it is increasing from 0 to 1

  5. anonymous
    • one year ago
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    Okay, thanks!

  6. anonymous
    • one year ago
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    you're welcome :P

  7. anonymous
    • one year ago
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    Water coming out from a fountain is modeled by the function f(x) = −x2 + 6x + 6 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds. What does the average rate of change of f(x) from x = 2 to x = 5 represent? The water travels an average distance of 4 feet from 2 seconds to 5 seconds. The water travels an average distance of 1 foot from 2 seconds to 5 seconds. The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds. The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds. @Nnesha

  8. anonymous
    • one year ago
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    make sure to medal XD

  9. anonymous
    • one year ago
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    I think the second one is D? I am just trying to check my answers ><

  10. anonymous
    • one year ago
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    If D was correct then it would make A true also... i'm pretty sure XD. From 2-5 seconds it would be a total of 4 seconds so if the water it traveling at 1 foot per second for 4 seconds, it would be a total of 4 feet.

  11. anonymous
    • one year ago
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    i think

  12. Nnesha
    • one year ago
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    average rate of change means slope the formula to find slope is \[\huge\rm \frac{ y_2 -y_1 }{ x_2 -x_1 }\] given x=2 x=5 you have to find f(5) and f(2) so substitute x for 5 into f(x) function to find y

  13. Nnesha
    • one year ago
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    \[\huge\rm f(x) = −x^2 + 6x + 6\] replace x with 5 and then with 2 solve let me know what you get

  14. anonymous
    • one year ago
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    f(x)=61 f(x)=22

  15. Nnesha
    • one year ago
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    nope try again

  16. Nnesha
    • one year ago
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    remember it's x^2 so it would be (2)^2

  17. anonymous
    • one year ago
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    So, would the number be negative? I confused now lol

  18. Nnesha
    • one year ago
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    show ur work how did you replaced x with 2 ?

  19. anonymous
    • one year ago
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    f(x)=-2^2 +6 x 2 + 6?

  20. Nnesha
    • one year ago
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    yes right

  21. anonymous
    • one year ago
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    So, then f(x)=-4+6 x 2 + 6?

  22. anonymous
    • one year ago
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    I see, they were supposed to remain negative

  23. Nnesha
    • one year ago
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    yes right! so final answer is what

  24. anonymous
    • one year ago
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    f(x)=-4 plus 12 plus 6 f(x)=8 plus 6 f(x)=14

  25. Nnesha
    • one year ago
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    yes right now replace x with 5

  26. anonymous
    • one year ago
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    f(x)=-25 plus 30 plus 6 f(x) = 5 plus 6 f(x)=11

  27. Nnesha
    • one year ago
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    yes right so order pairs are ( 2,14)(5,11) now plug them into the slope formula

  28. anonymous
    • one year ago
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    2^2-5^1 over 14^2 -11^1

  29. Nnesha
    • one year ago
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    ohh wait Y-2 means 2nd y not square

  30. Nnesha
    • one year ago
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    \[\huge\rm (x_1 ,y_1) (1st ~x , 1st ~y)\]

  31. anonymous
    • one year ago
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    wait what

  32. Nnesha
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @gigirained 2^2-5^1 over 14^2 -11^1 \(\color{blue}{\text{End of Quote}}\) it's not 14^2

  33. Nnesha
    • one year ago
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    |dw:1441384007239:dw|

  34. Nnesha
    • one year ago
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    \[\huge\rm \frac{\color{reD}{ y_2} -y_1 }{ x_2 -x_1 }\] y_2 is just 11

  35. anonymous
    • one year ago
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    Ohh okay

  36. Nnesha
    • one year ago
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    so same with x_2 and x_1 substitute

  37. anonymous
    • one year ago
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    2-5 over 14 -11

  38. anonymous
    • one year ago
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    ?

  39. Nnesha
    • one year ago
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    x should be at the denomiantor

  40. Nnesha
    • one year ago
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    denominator *

  41. Nnesha
    • one year ago
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    \(\color{blue}{\text{Originally Posted by}}\) @gigirained 2-5 over 14 -11 \(\color{blue}{\text{End of Quote}}\) just flip it!

  42. anonymous
    • one year ago
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    Oh, alright, sorry i went to get water

  43. Nnesha
    • one year ago
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    lol

  44. Nnesha
    • one year ago
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    water is already in ur question lol solve that you will get the water

  45. anonymous
    • one year ago
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    haha, nice one

  46. anonymous
    • one year ago
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    so, i subtract and then divide or?

  47. Nnesha
    • one year ago
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    yes subtract then divide PEMDAS rules!

  48. anonymous
    • one year ago
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    so then, 14-11=3 and 2-5=-3 3/-3=-1?

  49. Nnesha
    • one year ago
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    yes right that's average rate it's negative so water would decrease or increase ?

  50. anonymous
    • one year ago
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    decrease

  51. Nnesha
    • one year ago
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    yes right !

  52. Nnesha
    • one year ago
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    falls down ugh samething

  53. anonymous
    • one year ago
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    lol yea

  54. Nnesha
    • one year ago
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    alright good to go! good luck!

  55. anonymous
    • one year ago
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    Thank you!

  56. Nnesha
    • one year ago
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    np!

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