Question

Is this correct?

Answer 1

Yes choice C is correct. Nice job.

Answer 2

Thank you!

Answer 3

you're welcome

Answer 4

@jim_thompson5910 Is this one also correct?

Answer 5

I agree that they both have asymptotes, but I don't agree that they're both exponential functions

Answer 6

one is a log, the other is an exponential

Answer 7

one has a vertical asymptote, the other has a horizontal asymptote

Answer 8

Are they both logarithmic functions? I can never tell the difference

Answer 9

they both have been shifted and flipped (if you compare them to the parent function)

Answer 10

the blue one is logarithmic because it has a vertical asymptote

the red one is exponential. It has a horizontal asymptote

Answer 11

logs and exponents are inverses of each other. Recall that x and y swap places when you deal with inverses

because of this swap, the horizontal asymptote will become vertical and vice versa

Answer 12

Oh so the answer would be A and D?

Answer 13

yes that is correct

Answer 14

Thank you! Also is this one correct?

Answer 15

look at the graph of f(x). You'll notice that it doesn't have a max. It is slowly approaching a horizontal asymptote (in this case, y = 2) and it never actually gets there.

Answer 16

So then g(x) = has the largest possible y-value?

Answer 17

So it would be B and D?

Answer 18

D is definitely true. B seems a bit odd to me. Let me think B over some more

Answer 19

Ok thank you!

Answer 20

f(x) has no max, but f(x) does approach 2 when x heads off to negative infinity

hmm not sure about B. It seems like a trick question

Answer 21

Yea it does but it is multiple response.

Answer 22

It was B and D

Answer 23

I guess what B is trying to say is that f(x) --> 2 while x --> -infinity which is a true statement.

Answer 24

Is this correct

Answer 25

@jim_thompson5910

Answer 26

There's definitely one x intercept since y change from negative to positive. It's not clear if there's exactly 1 or more than 1

Answer 27

If this function is one-to-one, then there's exactly one x intercept. If not, then it could have more than one root

Answer 28

So there isn't enough information

Answer 29

If you were told "this function is logarithmic" or "this function is exponential", then that would be enough info to know that it is one-to-one.

Answer 30

Ok thank you! Is this one correct?

Answer 31

@jim_thompson5910

Answer 32

yes both are correct