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].

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
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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].
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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