Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x < - 6 f(x) = тх + b if x € [- 6, 3] 3. 23 - + 37 if x > 3 When showing your work, be sure to include all limit calculations and a sketch of the gra m =

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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Find the values of m and b that make f continuous everywhere:
42 +r- a2
if x < - 6
I+6
f(x) =
if x € [- 6, 3]
те + 6
3- 23–a
+ 37
if x > 3
When showing your work, be sure to include all limit calculations and a sketch of the graph.
m =
Transcribed Image Text:Find the values of m and b that make f continuous everywhere: 42 +r- a2 if x < - 6 I+6 f(x) = if x € [- 6, 3] те + 6 3- 23–a + 37 if x > 3 When showing your work, be sure to include all limit calculations and a sketch of the graph. m =
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