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anonymous

  • one year ago

Confused on this. File attached

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  1. anonymous
    • one year ago
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    Function A is described by the graph below. Function B is defined by the equation y = log2⁡ x. Choose all the statements below that are true. There is more than one correct answer; be sure to choose all the correct answers.

  2. anonymous
    • one year ago
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  3. anonymous
    • one year ago
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    Possible answers: Function A is described by the graph below. Function B is defined by the equation y = log2⁡ x. Choose all the statements below that are true. There is more than one correct answer; be sure to choose all the correct answers. Function A has a greater value than function B when x ≤ 1. Neither function has a y-intercept. Both functions increase as x increases. Both functions have the same y-intercept, at y = 0. Both functions have the same x-intercept, at x = 1. Function B has a greater value than function A when x ≤ 1. Both functions decrease as x increases.

  4. jtvatsim
    • one year ago
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    Not sure I know the answers for this one, but the function B copy and pasted a little strangely is it supposed to look like this? \[\log_2{x}\]

  5. anonymous
    • one year ago
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    @jtvatsim the way it's copy and pasted here is how it looks on my assignment

  6. jtvatsim
    • one year ago
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    with the little square box thing? That must have just been a mistake on the assignment then. No worries.

  7. anonymous
    • one year ago
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    @jtvatsim I think so, but can you help >.< I'm so confused

  8. jtvatsim
    • one year ago
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    I'm looking right now. You will need to be familiar with what this equation means \[y = \log_2{x}\] have you studied logarithms in your class?

  9. anonymous
    • one year ago
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    Yes, I've learned that.

  10. jtvatsim
    • one year ago
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    OK, well I would recommend that we plot a short graph of Function B so that we will be able to answer the questions. All of the questions have to do with comparing the graphs. :)

  11. jtvatsim
    • one year ago
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    I'm going to use desmos.com to get a graph for this part.

  12. anonymous
    • one year ago
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    Okay (: ! @jtvatsim

  13. jtvatsim
    • one year ago
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    Here is the graph of Function B. Take a look! :)

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  14. jtvatsim
    • one year ago
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    So, a short way for us to remember which graph is which: Function A starts high and goes lower. Function B starts low and goes higher.

  15. anonymous
    • one year ago
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    okay (:

  16. jtvatsim
    • one year ago
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    So, now for that first question: "Function A has a greater value than Function B when x <= 1" What do you think? Does that match our graphs?

  17. anonymous
    • one year ago
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    No, aren't they equal when x <= 1

  18. anonymous
    • one year ago
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    Oh wait, no! Lol it's true... right

  19. jtvatsim
    • one year ago
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    Yes, it is true! Remember function A starts out high and function B starts out low. So clearly A has a greater value than B at first! :)

  20. anonymous
    • one year ago
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    Okay lol. I only looked at the x when it met 1

  21. jtvatsim
    • one year ago
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    Right, they are exactly the same when x = 1. But not when x < 1. Good job on #1 ! :)

  22. jtvatsim
    • one year ago
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    What do you think about question #2? "Neither function has a y-intercept" This one is a little tricky. But, I think you can do it! :)

  23. anonymous
    • one year ago
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    false because graph A is on the y.. right?

  24. jtvatsim
    • one year ago
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    Right? This one is a bit debatable. But I think they want us to say true. Here's why...

  25. jtvatsim
    • one year ago
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    I think they are trying to show that Function A has a vertical asymptote at the y-axis. So it gets closer and closer, but never actually touches. You can answer it however you want. But, personally, I think they want us to say True neither graph touches. :)

  26. anonymous
    • one year ago
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    It touches at the top doesn't it?

  27. jtvatsim
    • one year ago
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    On the graph it really does look like it. But (and this is just my experience) I've never seen a math question that has that shape and is supposed to touch the y-axis. I think it's a bad drawing, but again, answer it the way you feel most confident. This one is debatable, but I see your point as well. :)

  28. jtvatsim
    • one year ago
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    Moving on! Question #3 is not debatable and much more clear: "Both function increase as x increases." Hmmm...

  29. anonymous
    • one year ago
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    false

  30. jtvatsim
    • one year ago
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    Yep! Function A is definitely not increasing.

  31. jtvatsim
    • one year ago
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    How about #4 "Both functions have the same y-intercept at y = 0"? Hmm....

  32. anonymous
    • one year ago
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    false

  33. jtvatsim
    • one year ago
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    Yep, even if we don't agree whether the graphs actually intercept the y-axis or not, if they do they are definitely not the same. Good!

  34. jtvatsim
    • one year ago
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    How about #5 "the same x-intercept at x = 1"?

  35. anonymous
    • one year ago
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    true

  36. jtvatsim
    • one year ago
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    Yes!

  37. jtvatsim
    • one year ago
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    #6 "Function B greater than Function A when x <= 1"?

  38. anonymous
    • one year ago
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    The last two are false, right?

  39. jtvatsim
    • one year ago
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    I'd say, Yes! You are right.

  40. anonymous
    • one year ago
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    So, i have 1 &5 checked. Thank you (: !

  41. jtvatsim
    • one year ago
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    Good work! You're welcome!

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