Question

I need help understanding how to find the domain and range algebraically and graphically..

Answer 1

an example would be nice

Answer 2

if you have the graph it is more or less easy
you can look to see what possible \(x\) values you can use and also the possible \(y\) values

Answer 3

I have two:
y=\[\sqrt{x-4}\]
y=\[\sqrt{x ^{2}-4}\]

Answer 4

It takes light to roughly 3.0 x 10–9 seconds to travel one meter. Write this time in standard form.need some help

Answer 5

in both of these you have to make sure the expresson inside the radical is not negative, so set
\(x-4\geq0\) and solve for \(x\) (in one easy step) for the first one
that will give you the domain

Answer 6

the range is \([0,\infty)\) because the square root means the positive square root

Answer 7

second one is harder but not really
you have \(y=\sqrt{x^2-4}\) so again \(x^2-4\geq 0\) is what you need
\(x^2-4\) is a parabola that opens up with zeros at \(-2\) and \(2\) so it will be negative between the zeros and positive outside them
therefore the domain is \((-\infty.-2]\cup [2,\infty)\)

Answer 8

thanks!