Let f(x)= = 3x + 12 if x < − 3 √x+12 if x > - 3 2 if x = -3 Select all statements below that you agree with. Note: You may be checking more than one box. No partial credit. f(-3) is defined. lim f(x) exists. I→-3 lim 24-3 f(x) = f(-3). The function is continuous at x = -3. The function is not continuous at x = -3.

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 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let f(x)
=
3x + 12 if x < − 3
√x+12 if x >
- 3
if x X =
- 3
2
Select all statements below that you agree with.
Note: You may be checking more than one box. No partial credit.
f(-3) is defined.
lim f(x) exists.
I→-3
lim f(x) = f(-3).
→ 3
The function is continuous at x = -3.
The function is not continuous at x = -3.
Transcribed Image Text:Let f(x) = 3x + 12 if x < − 3 √x+12 if x > - 3 if x X = - 3 2 Select all statements below that you agree with. Note: You may be checking more than one box. No partial credit. f(-3) is defined. lim f(x) exists. I→-3 lim f(x) = f(-3). → 3 The function is continuous at x = -3. The function is not continuous at x = -3.
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