Question

Confused on this. File attached

Answer 1

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.

Answer 2

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.

Answer 3

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? \[\log_2{x}\]

Answer 4

@jtvatsim the way it's copy and pasted here is how it looks on my assignment

Answer 5

with the little square box thing? That must have just been a mistake on the assignment then. No worries.

Answer 6

@jtvatsim I think so, but can you help >.< I'm so confused

Answer 7

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?

Answer 8

Yes, I've learned that.

Answer 9

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. :)

Answer 10

I'm going to use desmos.com to get a graph for this part.

Answer 11

Okay (: ! @jtvatsim

Answer 12

Here is the graph of Function B. Take a look! :)

Answer 13

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.

Answer 14

okay (:

Answer 15

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?

Answer 16

No, aren't they equal when x <= 1

Answer 17

Oh wait, no! Lol it's true... right

Answer 18

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! :)

Answer 19

Okay lol. I only looked at the x when it met 1

Answer 20

Right, they are exactly the same when x = 1. But not when x < 1. Good job on #1 ! :)

Answer 21

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! :)

Answer 22

false because graph A is on the y.. right?

Answer 23

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

Answer 24

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. :)

Answer 25

It touches at the top doesn't it?

Answer 26

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. :)

Answer 27

Moving on! Question #3 is not debatable and much more clear:
"Both function increase as x increases."

Hmmm...

Answer 28

false

Answer 29

Yep! Function A is definitely not increasing.

Answer 30

How about #4
"Both functions have the same y-intercept at y = 0"?

Hmm....

Answer 31

false

Answer 32

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!

Answer 33

How about #5
"the same x-intercept at x = 1"?

Answer 34

true

Answer 35

Yes!

Answer 36

#6 "Function B greater than Function A when x <= 1"?

Answer 37

The last two are false, right?

Answer 38

I'd say, Yes! You are right.

Answer 39

So, i have 1 &5 checked. Thank you (: !

Answer 40

Good work! You're welcome!