Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE. 8x3 + 9x2 a. Consider h(x) — ӕ3 + 10х i. For what values of x is h(x) undefined? Preview ii. For what value(s) of x does h(x) have a vertical asymptote? Preview iii. For what value(s) of x does h(x) have a hole? Preview iv. lim h(x) Preview х30 v. lim h(x) = Preview х-0 vi. lim h(x) = Preview х-—оо b. Based on your work in part a, on what interval(s) is h(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE.
8x3 + 9x2
a. Consider h(x)
— ӕ3 + 10х
i. For what values of x is h(x) undefined?
Preview
ii. For what value(s) of x does h(x) have a vertical asymptote?
Preview
iii. For what value(s) of x does h(x) have a hole?
Preview
iv. lim h(x)
Preview
х30
v. lim h(x) =
Preview
х-0
vi. lim h(x) =
Preview
х-—оо
b. Based on your work in part a, on what interval(s) is h(x) continuous?
Preview
Write your answer in interval notation. If you include multiple intervals, use u to denote union.
Transcribed Image Text:Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE. 8x3 + 9x2 a. Consider h(x) — ӕ3 + 10х i. For what values of x is h(x) undefined? Preview ii. For what value(s) of x does h(x) have a vertical asymptote? Preview iii. For what value(s) of x does h(x) have a hole? Preview iv. lim h(x) Preview х30 v. lim h(x) = Preview х-0 vi. lim h(x) = Preview х-—оо b. Based on your work in part a, on what interval(s) is h(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.
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