13. The limit will never exist at a discontinuity. 14. The average rate of change is the slope of the tangent at f(a). 15. A jump discontinuity occurs when a function jumps over the x-axis. 16. A piecewise function always has a jump discontinuity. 17. An infinite discontinuity means a function is merely a set of scattered points.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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13. The limit will never exist at a
discontinuity.
14. The average rate of change is the slope of the tangent at f(a).
15. A jump discontinuity occurs when a function jumps over the x-axis.
16. A piecewise function always has a jump discontinuity.
17. An infinite discontinuity means a function is merely a set of scattered points.
18. The instantaneous rate of change is determined by finding the difference quotient over a very small interval.
19. Functions that have an indeterminate form when evaluating a limit can always be simplified by factoring.
20. The derivative can be used to calculate the slope of the tangent to any point on a function.
21. For a parabola, the instantaneous and average rate are equal
Transcribed Image Text:13. The limit will never exist at a discontinuity. 14. The average rate of change is the slope of the tangent at f(a). 15. A jump discontinuity occurs when a function jumps over the x-axis. 16. A piecewise function always has a jump discontinuity. 17. An infinite discontinuity means a function is merely a set of scattered points. 18. The instantaneous rate of change is determined by finding the difference quotient over a very small interval. 19. Functions that have an indeterminate form when evaluating a limit can always be simplified by factoring. 20. The derivative can be used to calculate the slope of the tangent to any point on a function. 21. For a parabola, the instantaneous and average rate are equal
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