Question

I need to restrict the domain so that
f(x)=(x+6)^2 becomes a one-to-one function?

Answer 1

sorry I never learned this...
should I factor or is the answer simply -6?

Answer 2

Do you know what a one-to-one function is?

Answer 3

yes- there is solely one output for each input, and only one input for one output.
passing both the vertical and horizontal line test.

Answer 4

Yes, very nice!

Answer 5

Sorry I didn't learn how to do set restrictions on the domain to change this to a one-to-one...
the exact instruction tells me
"restrict the domain of the function so that it is a one-to-one function and had has an inverse

Answer 6

\( \color{#000000 }{ \displaystyle f(x)=(x-h)^2 }\)
is symmetrical about a vertical line \(\small \color{#000000 }{ \displaystyle x=h }\). (Right?)
Alternatively, it "mirrors" or "reflects" itself about
the line \(\small \color{#000000 }{ \displaystyle x=h }\).

Of course, this is a problem, because that means
that the function fails the horizontal line test.

Answer 7

By, "restricting the domain", you are just
setting the domain for your function,
where f(x) is a one-to-one function.
(i.e. without that "mirror"/"repetition" on the other side)

Answer 8

would restricting the domain include changing the format of the equation, or would the function remain the same in this instance?
can (x+6)^2 go to (x+6)(x-6) for example?