College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...
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![(3) Show that the function is discontinuous on the specified interval.
Vx2 – 64 if x < -8
if – 8 < x < 8; [-8,8]
0if x 8
f(x) = {x + 8
Analysis: Real-life Applications
(1) Aling Priscilla has a promotion in selling her lanzones by kilogram to encourage more
customers. The promotion is as follows: The lanzones is sold for Php120.00 per kg if not
more than 3 kg, Php100.00 per kg for order that is more than 3 kg but less than 6 kg and
Php90.00 per kg if the order is at least 6 kg.
a) Find a mathematical model expressing the total cost C of buying lanzones as a
function of its mass in kilograms x.
b) Determine the number for which the function is discontinuous and show
which of the conditions in the definition of continuity is not satisfied.
c) What is the significance of the numbers for which the function is discontinuous
in the given situation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F594ef8c5-cc4c-4d83-ae99-1b9df498d2d7%2F443541d4-a3f3-47e3-b82b-a6e9947f0d17%2Fqun49s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(3) Show that the function is discontinuous on the specified interval.
Vx2 – 64 if x < -8
if – 8 < x < 8; [-8,8]
0if x 8
f(x) = {x + 8
Analysis: Real-life Applications
(1) Aling Priscilla has a promotion in selling her lanzones by kilogram to encourage more
customers. The promotion is as follows: The lanzones is sold for Php120.00 per kg if not
more than 3 kg, Php100.00 per kg for order that is more than 3 kg but less than 6 kg and
Php90.00 per kg if the order is at least 6 kg.
a) Find a mathematical model expressing the total cost C of buying lanzones as a
function of its mass in kilograms x.
b) Determine the number for which the function is discontinuous and show
which of the conditions in the definition of continuity is not satisfied.
c) What is the significance of the numbers for which the function is discontinuous
in the given situation?
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