anonymous
  • anonymous
Confused on this. File attached
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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.
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
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.

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jtvatsim
  • jtvatsim
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? \[\log_2{x}\]
anonymous
  • anonymous
@jtvatsim the way it's copy and pasted here is how it looks on my assignment
jtvatsim
  • jtvatsim
with the little square box thing? That must have just been a mistake on the assignment then. No worries.
anonymous
  • anonymous
@jtvatsim I think so, but can you help >.< I'm so confused
jtvatsim
  • jtvatsim
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?
anonymous
  • anonymous
Yes, I've learned that.
jtvatsim
  • jtvatsim
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. :)
jtvatsim
  • jtvatsim
I'm going to use desmos.com to get a graph for this part.
anonymous
  • anonymous
Okay (: ! @jtvatsim
jtvatsim
  • jtvatsim
Here is the graph of Function B. Take a look! :)
1 Attachment
jtvatsim
  • jtvatsim
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.
anonymous
  • anonymous
okay (:
jtvatsim
  • jtvatsim
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?
anonymous
  • anonymous
No, aren't they equal when x <= 1
anonymous
  • anonymous
Oh wait, no! Lol it's true... right
jtvatsim
  • jtvatsim
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! :)
anonymous
  • anonymous
Okay lol. I only looked at the x when it met 1
jtvatsim
  • jtvatsim
Right, they are exactly the same when x = 1. But not when x < 1. Good job on #1 ! :)
jtvatsim
  • jtvatsim
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! :)
anonymous
  • anonymous
false because graph A is on the y.. right?
jtvatsim
  • jtvatsim
Right? This one is a bit debatable. But I think they want us to say true. Here's why...
jtvatsim
  • jtvatsim
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. :)
anonymous
  • anonymous
It touches at the top doesn't it?
jtvatsim
  • jtvatsim
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. :)
jtvatsim
  • jtvatsim
Moving on! Question #3 is not debatable and much more clear: "Both function increase as x increases." Hmmm...
anonymous
  • anonymous
false
jtvatsim
  • jtvatsim
Yep! Function A is definitely not increasing.
jtvatsim
  • jtvatsim
How about #4 "Both functions have the same y-intercept at y = 0"? Hmm....
anonymous
  • anonymous
false
jtvatsim
  • jtvatsim
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!
jtvatsim
  • jtvatsim
How about #5 "the same x-intercept at x = 1"?
anonymous
  • anonymous
true
jtvatsim
  • jtvatsim
Yes!
jtvatsim
  • jtvatsim
#6 "Function B greater than Function A when x <= 1"?
anonymous
  • anonymous
The last two are false, right?
jtvatsim
  • jtvatsim
I'd say, Yes! You are right.
anonymous
  • anonymous
So, i have 1 &5 checked. Thank you (: !
jtvatsim
  • jtvatsim
Good work! You're welcome!

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