Determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3. 3t, 0 ≤ t ≤1 9 - 3t, 1 < t < 2 3, 2 < t ≤ 3 f(t) = =

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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Determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3.
0 ≤ t ≤ 1
1 < t ≤2
2 < t ≤3
f(t) =
10 -
3t,
9
3,
3t,
continuous
O piecewise continuous
O neither
Transcribed Image Text:Determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3. 0 ≤ t ≤ 1 1 < t ≤2 2 < t ≤3 f(t) = 10 - 3t, 9 3, 3t, continuous O piecewise continuous O neither
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