Classify the type of discontinuity present at a = 4 for the function g(x). Explain your reasoning using limits. g(x) = 8x - 39, -9, -3x+5, h(x) = x < 4 x = 4 x> 4 Determine the value of b to make h(x) continuous at x = 5. Explain your reasoning using limits. bx + 9, -x² +8x-14, x < 5 x ≥ 5

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 2WE
icon
Related questions
Question

Answer all parts otherwise don't solve

Classify the type of discontinuity present at a = 4 for the function g(x). Explain your
reasoning using limits.
g(x) =
8 x 39,
1
-9,
-3x+5,
h(x) =
x < 4
x = 4
x> 4
Determine the value of b to make h(x) continuous at x = 5. Explain your reasoning using
limits.
bx + 9,
-x² +8x-14,
x < 5
x ≥5
Transcribed Image Text:Classify the type of discontinuity present at a = 4 for the function g(x). Explain your reasoning using limits. g(x) = 8 x 39, 1 -9, -3x+5, h(x) = x < 4 x = 4 x> 4 Determine the value of b to make h(x) continuous at x = 5. Explain your reasoning using limits. bx + 9, -x² +8x-14, x < 5 x ≥5
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning