C. Discuss the continuity of the following functions at/on the given point/interval. 4x 1. (6 points) g(x) = 9x-x2" %3D at the point x, = 0. If disbontinuous, identify x > 0 %3D 2 the type of discontinuity. If it is a removable discontinuity, redefine the function to make it continuous. (x² +7x-5, x< 3 2. (9 points) h(x) ={- 2x² + 1, x 2 3' on the interval [2,4].
C. Discuss the continuity of the following functions at/on the given point/interval. 4x 1. (6 points) g(x) = 9x-x2" %3D at the point x, = 0. If disbontinuous, identify x > 0 %3D 2 the type of discontinuity. If it is a removable discontinuity, redefine the function to make it continuous. (x² +7x-5, x< 3 2. (9 points) h(x) ={- 2x² + 1, x 2 3' on the interval [2,4].
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Discuss tue continuity of the following functions
![C. Discuss the continuity of the following functions at/on the given point/interval.
4x
1. (6 points) g(x) =
9x-x2'
2
at the point x, = 0. If disbontinuous, identify
%3D
x > 0
the type of discontinuity. If it is a removable discontinuity, redefine the function to
make it continuous.
2. (9 points) h(x) =
(x²+7x-5, x < 3
4²-2x2 + 1, x2 3'
on the interval [2,4].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1624a136-a146-4699-b5dd-be2d86b5b938%2F964af60b-8a32-48fa-83b4-05614ad78231%2Fse2npy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:C. Discuss the continuity of the following functions at/on the given point/interval.
4x
1. (6 points) g(x) =
9x-x2'
2
at the point x, = 0. If disbontinuous, identify
%3D
x > 0
the type of discontinuity. If it is a removable discontinuity, redefine the function to
make it continuous.
2. (9 points) h(x) =
(x²+7x-5, x < 3
4²-2x2 + 1, x2 3'
on the interval [2,4].
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