Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 3TU
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Match all items correctly.

15

True/False
Indicate whether the statement is true or false.
15. The instantaneous rate of change is determined by finding the difference quotient over a very small interval.
16. A limit exists if both the right-hand and left-hand limits are equal.
17. A jump discontinuity occurs when a function jumps over the x-axis.
18. A vertical asymptote can be found by solving the numerator equal to zero in a rational function.
19. A piecewise function always has a jump discontinuity.
20. Functions that have an indeterminate form when evaluating a limit can always be simplified by factoring.
Transcribed Image Text:True/False Indicate whether the statement is true or false. 15. The instantaneous rate of change is determined by finding the difference quotient over a very small interval. 16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity occurs when a function jumps over the x-axis. 18. A vertical asymptote can be found by solving the numerator equal to zero in a rational function. 19. A piecewise function always has a jump discontinuity. 20. Functions that have an indeterminate form when evaluating a limit can always be simplified by factoring.
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