Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE. 7x3 + 8x? a. Consider h(x) - x³ + 9x 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 v. lim h(x) = Preview х-У0 vi. lim h(x) = Preview х——00 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.
Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE. 7x3 + 8x? a. Consider h(x) - x³ + 9x 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 v. lim h(x) = Preview х-У0 vi. lim h(x) = Preview х——00 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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