Question

how do you find the range for this function? is there a way you can do it without graphing it ?

Answer 1

You can find the minimum and maximum of it by taking the derivative and setting where the derivative is 0.

Answer 2

part a

Answer 3

can you show me how to do it

Answer 4

Well, I don't see where the question is.

Answer 5

i posted above

Answer 6

do you know what a square root is?

Answer 7

The range of the function can be considered after determining the domain as this function is monotonic

Answer 8

The domain is [3, infinity) and so the corresponding range is [k(3), k(infinity))=[0, infinity)

Answer 9

wow I'm blind, didn't even see that image

Answer 10

how would you write the range in this form?

Answer 11

\(range(f) = \left\{ y \in [0,\infty) | y=f(x) \forall x \in [3,\infty)\right\}\)
something like this I guess

Answer 12

how would you do part a -c for the range ?

Answer 13

So we just did part (a)

Part (b) is ln(2x-1)
Its graph looks like this:

Doesn't the range look like all real numbers?
Any number can be written as ln(2x-1)

Here's a graph of sin(x):


It goes from -1 to 1 right?
Now 3sin(x) would make it bigger 3 times.