anonymous
  • anonymous
Find domain, range, x and y intercept, Horizontal and vertical asymptote? How do I do it? f(x)=3^x-9
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
The 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
  • anonymous
What about the x and y int? On my solution set i have x-int: (2,0) and y-int: (0,-8). How do you get those answers? I understand the other parts.
anonymous
  • anonymous
Oh whoops. Forgot about the intercepts. To find the x-intercept, let y = 0 to get 0 = 3^x - 9; solve for x to get x = 2, or the point (2, 0). To find the y-intercept, let x = 0 to get f(x) = 3^0 - 9 = 1 - 9 = -8. So, the y-intercept is at the point (0, -8)

Looking for something else?

Not the answer you are looking for? Search for more explanations.