parabola range and domain

[ree]

Hi! I am looking at a Parabola graph and have to find its domain and range and also the domain and range of the entire function. What is the difference? I do know that y begins at 2 and goes to infinity. x seems to go to infinity as well, however the bottom of the curve of x is 1. I hope someone can help, thank you!

 

[stapel]

I...have to find its domain and range.... What is the difference?

The "domain" is all the allowable x-values.

The "range" is the resulting y-values.

Eliz.

 

[ree]

I know that x is the domain and y is the range, what I need to know is how to find out what the domain and range is in the graph and what is the entire function.

 

[skeeter]

correct me if I'm mistaken, but you have basically stated that the parabola's vertex is at x = 1, y = 2.

if the parabola is a standard one that opens upward, the function is
y = (x - 1)² + 2

the domain is all real numbers

the range is y > 2.

 

[ree]

Yes, you are correct. I understand that the domain is real number, however, do I start with the vertex as the first real number and include where each slope ends as real numbers as well?

 

[Gene]

Neither slope(?) ends. you can put in as large an x as you want and get as large a y as you want.