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 (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
icon
Related questions
Question
100%
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].
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer