Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim f(r) = -5, lim f(r) = -2, lim f(x) = -2, and lim f(x) = 5. I+0- I→0+ I-3- I→3+ a. Then f is continuous on (0,3). b. Then f is continuous on [0,3). c. Then f is continuous on [0,3]. d Thon f is discontinuous from the right, at. 0 and discontinuous from the left at 3.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Suppose f is continuous on the interval (0,3).
- Suppose f is continuous on the interval (0, 3). Assume further that f(0) = -2 and f(3) = 5.
Also, lim f(r) = -5, lim f(x) = -2, lim f(x) = -2, and lim f(x) = 5.
%3D
I+0-
I→0+
I→3+
a. Then f is continuous on (0, 3].
b. Then f is continuous on [0,3).
c. Then f is continuous on [0,3].
d. Then f is discontinuous from the right at 0 and discontinuous from the left at 3.
Transcribed Image Text:- Suppose f is continuous on the interval (0, 3). Assume further that f(0) = -2 and f(3) = 5. Also, lim f(r) = -5, lim f(x) = -2, lim f(x) = -2, and lim f(x) = 5. %3D I+0- I→0+ I→3+ a. Then f is continuous on (0, 3]. b. Then f is continuous on [0,3). c. Then f is continuous on [0,3]. d. Then f is discontinuous from the right at 0 and discontinuous from the left at 3.
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