Mathematics OpenStudy (anonymous):

Determine the domain or range of a function---I need help! OpenStudy (shadowfiend):

Can you post which function you're trying to find the domain/range of? OpenStudy (anonymous):

I tell my students, domain is all values of x that don't "cause problems" for the function. Problems include negatives inside square roots, dividing by zero, etc. A function like y = 2x + 1 has no problems, so the domain is all real numbers. A function like $y=1/(x^2-1)$ can't have division by zero, so we must exclude 1 and -1; therefore, the domain is all real numbers except 1 and -1. A function like $y=\sqrt{4-x^2}$ has a problem whenever 4 - x^2 is negative, so all those values of x must be excluded. Range is for y, and it's all the y values that are produced by the function. Suppose you have the function y = x^2, a parabola. Since all squares are positive, there is no way for the function to produce a negative value for y. Therefore the range is all non-negative real numbers. That help? OpenStudy (anonymous):

Well my problem is: What is the domain of the function f(x)= 1/3 x + 3 when the range is {0, 3, 6} ? OpenStudy (shadowfiend):

So in this case, you have the values of $$y$$ (or in this case, $$f(x)$$), and you want to find the valid values of $$x$$. To do that, you just solve the three equations with $$f(x)$$ set to each of the three values they give you for the range, and the values of $$x$$ for those equations will be the domain of the function. OpenStudy (anonymous):

So I have to replace f or x with one of the three numbers {0,3,6} ? OpenStudy (shadowfiend):

f. OpenStudy (anonymous):

Okay thanks! OpenStudy (shadowfiend):

No problem!

Latest Questions XxNoodlexX: How many chapters are too many for a book?
21 seconds ago 52 Replies 3 Medals payton: thx to everyone who edited for me i will use your edits evey now and then
14 minutes ago 17 Replies 1 Medal SaltTheLoser: How do you make edits?
1 hour ago 10 Replies 1 Medal Lexya: How do I make music with an egg and a toothpick
19 minutes ago 21 Replies 3 Medals xxcoffee: who wanna edit a pic for me.even doe im ugly
2 hours ago 0 Replies 0 Medals jakfishman: i just wanna see who want to edit a pic of me
2 hours ago 0 Replies 0 Medals Denis: Who wants to uhm edit my doggo?
2 hours ago 5 Replies 0 Medals 408juju: does anyone know how to get discord on school computer ?
2 hours ago 8 Replies 0 Medals xxcoffee: who wants to edit a pic of me... yes ik how to edit im just to lazy to do it
2 hours ago 19 Replies 1 Medal emma111: this is another song
3 hours ago 6 Replies 0 Medals