A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Find domain, range, x and y intercept, Horizontal and vertical asymptote? How do I do it?
f(x)=3^x9
anonymous
 5 years ago
Find domain, range, x and y intercept, Horizontal and vertical asymptote? How do I do it? f(x)=3^x9

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The domain is all the possible values you can have for x. There is no value for x where we would have "problems" like dividing by 0 or having a negative under the square root. Therefore, the domain of that function is all real numbers or (infinity, infinity). The range is all the possible values you can have for y. If you solve for x in your equation, you'll have: \[f(x)+9=3^x\] \[x = \log_{3}[f(x)+9] \] Now, what possible values can we have for f(x)? Since a log cannot have 0 or negative numbers on the inside, f(x) > 9. So, the range is (9, infinity) There are no vertical asymptotes for exponential functions (just kind of a given if you are precalculus). The horizontal asymptote occurs on the y = 9 when we look at range.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What about the x and y int? On my solution set i have xint: (2,0) and yint: (0,8). How do you get those answers? I understand the other parts.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh whoops. Forgot about the intercepts. To find the xintercept, let y = 0 to get 0 = 3^x  9; solve for x to get x = 2, or the point (2, 0). To find the yintercept, let x = 0 to get f(x) = 3^0  9 = 1  9 = 8. So, the yintercept is at the point (0, 8)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.