How do you find the domain and range for equations like:
Y=X^1/7
and
Y=5√(X-4) +2
I have no idea where to start

Question

How do you find the domain and range for equations like:
Y=X^1/7
and
Y=5√(X-4) +2
I have no idea where to start

rizags · Answer

Think, where would this be undefined...

jellybot23 · Answer

Never?
All Real Numbers?

rizags · Answer

well for the first yes

jellybot23 · Answer

Oh for the domain, okay! How would you find range algebraically?

rizags · Answer

for the first one, intuitively, one can see it is also all reals

jellybot23 · Answer

Okay, yo just got that from the graph?
How about the second?

rizags · Answer

yes. for the second, the "x-4" under the radical must always be greater than or equal to 0

jellybot23 · Answer

So the range would be {X: X>4} (greater than or equal to, I didn't know how to make that sign haha)

rizags · Answer

yep. and for range plug in x=4 for minimum

jellybot23 · Answer

Awesome thank you! So the range for any of those problems like the second one would be found by taking what's under the radical knowing it cannot be great than or equal to zero?

rizags · Answer

only if the radical has an even index.

rizags · Answer

medal plz

jellybot23 · Answer

What do you mean by even index (sorry)

rizags · Answer

no problem.$$\sqrt[2]{x}$$ ^ Has an even index$$\sqrt[3]{x}$$^has an odd index.
Odd indices can accept an real number, even ones accept all reals greater than or equal to 0

jellybot23 · Answer

Okay! I see! Thank you :)