In Exercises 37–40, graph the function to see whether it appears to have a continuous extension to the given point a. If it does, use Trace and Zoom to find a good candidate for the extended function's value at a. If the function does not appear to have a continuous extension, can it be extended to be continuous from the right or left? If so, what do you think the extended function's value should be? 37. f(x) a = 1 5 cos 0 38. g(0) а 3 п/2 40 27' 39. h(t) = (1 + 1)'", a = 0 40. k(x) a = 0 1 – 2.*1'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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In Exercises 37–40, graph the function to see whether it appears to
have a continuous extension to the given point a. If it does, use Trace
and Zoom to find a good candidate for the extended function's value at
a. If the function does not appear to have a continuous extension, can it
be extended to be continuous from the right or left? If so, what do you
think the extended function's value should be?
37. f(x)
a = 1
5 cos 0
38. g(0)
а 3 п/2
40
27'
39. h(t) = (1 + 1)'", a = 0
40. k(x)
a = 0
1 – 2.*1'
Transcribed Image Text:In Exercises 37–40, graph the function to see whether it appears to have a continuous extension to the given point a. If it does, use Trace and Zoom to find a good candidate for the extended function's value at a. If the function does not appear to have a continuous extension, can it be extended to be continuous from the right or left? If so, what do you think the extended function's value should be? 37. f(x) a = 1 5 cos 0 38. g(0) а 3 п/2 40 27' 39. h(t) = (1 + 1)'", a = 0 40. k(x) a = 0 1 – 2.*1'
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