Find the horizontal asymptote, if any, of the graph of the rational function. 10x h(x) = 3x? +8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The horizontal asymptote is (Type an equation.) O B. There is no horizontal asymptote.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 107E
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Find the horizontal asymptote, if any, of the graph of the rational function.
10x3
h(x) =
3x2 + 8
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The horizontal asymptote is
(Type an equation.)
O B. There is no horizontal asymptote.
Click to select and enter your answer(s).
Transcribed Image Text:Find the horizontal asymptote, if any, of the graph of the rational function. 10x3 h(x) = 3x2 + 8 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The horizontal asymptote is (Type an equation.) O B. There is no horizontal asymptote. Click to select and enter your answer(s).
Consider the function f(x) = - 3x + 12x - 2.
Determine, without graphing, whether the function has a minimum value or a maximum value.
b. Find the minimum or maximum value and determine where it occurs.
a.
с.
Identify the function's domain and its range.
b. The minimum/maximum value is
It occurs at x =
c. The domain of f is. (Type your answer in interval notation.)
The range of f is
(Type your answer in interval notation.)
Enter your answer in each of the answer boxes.
Transcribed Image Text:Consider the function f(x) = - 3x + 12x - 2. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. a. с. Identify the function's domain and its range. b. The minimum/maximum value is It occurs at x = c. The domain of f is. (Type your answer in interval notation.) The range of f is (Type your answer in interval notation.) Enter your answer in each of the answer boxes.
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