Question

Fill in the blank: (Domain and Range)

Answer 1

plz help it's odd and not in the book

Answer 2

I'll give a medal

Answer 3

so do you know what domain and range mean respectively?

Answer 4

Yes, pretty much. It's just that!

Answer 5

it's just that? Can you elaborate where your issues are?

Answer 6

Did you see the screenshot? The last 2 fill in the blank

Answer 7

well no duh, haha, I just need to know where you are confused so I can explain.. Is it the interval notation, domain and range, or both?

Answer 8

I just don't know what the domain and range would be idk how to explain it :/

Answer 9

ohk, so best way to sum up their definitions: domain, any value x can be. range: the y value after you put in the possible x values

Answer 10

What is b in this equation is that important

Answer 11

so, are there any values x cannot equal? is there anywhere b^x doesn't exist?

Answer 12

nope, not important for domain

Answer 13

Uhh, it cant be less than 0?! :D

Answer 14

or = to 1? idk

Answer 15

why can't you have a negative exponent? isn't \[2^{-1}=\frac{1}{2}\]?

Answer 16

Uh I guess 0.0

Answer 17

if I were to paraphrase the question, is there any value an exponent cannot be

Answer 18

no not exponent, b?

Answer 19

well, we are only focusing on x at the moment

Answer 20

OH, idk how to tell

Answer 21

so there are no restictions on x, yes?

Answer 22

not that I know of! lol

Answer 23

because an exponent can be any real number

Answer 24

so, there is no x value that will make b^x not exist

Answer 25

I wanna say no

Answer 26

then you would be correct. So the domain for the function, is...?

Answer 27

but if it makes b negative it can't be right so idk

Answer 28

an exponent cannot make its base negative

Answer 29

uhh the range I have no idea. and wtf I didnt know that

Answer 30

remember, what is \(a^0=?\)

Answer 31

0

Answer 32

noooooo

Answer 33

a? im confused

Answer 34

ohk, so. it is 1. Anything to the zero power is 1.

Answer 35

how the heck does that make sense

Answer 36

nevermind that, im just gonna accept it lol

Answer 37

In order to understand this question, I think you need a better explanation on exponents before we begin trying this, so review these pages for me please, http://www.purplemath.com/modules/exponent.htm

Answer 38

all exponents are just an agreed upon way to write things

Answer 39

just like we say 1+1=2

Answer 40

How will you find tha range though?

Answer 41

yes thank you!!

Answer 42

well, given your exponent can be any number, pick some value for b that satisfies your initial conditions,

Answer 43

Never mind, I got it! I'll still medal you though

Answer 44

then test it out with a few exponents, see what you get to make an educated guess for what b^x can equal

Answer 45

oh ok! Show me your answer?

Answer 46

Um, I don't think thats what I need to do. The domain is (-infinity ,infinity) and range is just (0,infinity)

Answer 47

This question was easier than thought

Answer 48

that's the answer

Answer 49

In order to get that answer though, you need to understand how an exponential function progresses

Answer 50

That's what I was trying to get you to arrive at