Question

= 2x – 1 and g(x) = –2x – 1. (3 points)

Part 2: Compare and contrast the domain and range of f(x) and g(x). (3 points)

I already did the domain part, I am just stuck on the range.

Answer 1

Try this http://answers.yahoo.com/question/index?qid=20110508135607AAYllLm

Answer 2

@hedyeh99 so? did ya get your answer?

Answer 3

Not really :(

Answer 4

k

Answer 5

Try this http://answers.yahoo.com/question/index?qid=20110718180021AA22lUp

Answer 6

They aren't the same graphs

Answer 7

k

Answer 8

@amistre64 @hartnn @Callisto @ParthKohli @AravindG @TuringTest
Please help me :)

Answer 9

both f(x) and g(x) are linear functions on x ,graphically both represents straight lines so the range will be set of real numbers.

Answer 10

Thanks :) but I was confused on how the ranges are going to be different @AravindG

Answer 11

both ranges will be set of reals :)

Answer 12

Thanks @AravindG :), the other part of my question asks how are the ranges of the two graphs different from each other and I was also wondering for that part.

Answer 13

@AravindG could you please just help me with that part?

Answer 14

As explained by @AravindG, the domain and range of both functions are the set of ALL real numbers. There is no difference whatsoever between them.

To understand why, try to imagine this: you can put ANY number in f or g, because:
f only doubles that number and then subtracts 1. Easy. Could be done with any number.
g multiplies it with -2 and then subtracts 1. Also easy. Could be done with any number.

So the domain of both f and g are all the real numbers.

Now try this:

Take any real number. You can always add 1 and then divide by 2. So any number can be the outcome of f.
You could also add 1 an then divide by -2. So any number can also be the outcome of g.

So the range of both f and g are all the real numbers.

Answer 15

Thanks :D

Answer 16

YW!