Determine the point(s), if any, at which the function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x + 4 jump discontinuities X = removable discontinuities X = infinite discontinuities X = other discontinuities X =
Determine the point(s), if any, at which the function is discontinuous. Classify any discontinuity as jump, removable, infinite, or other. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x + 4 jump discontinuities X = removable discontinuities X = infinite discontinuities X = other discontinuities X =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Step 1
The given function is
We have to find the discontinuity of the given function.
Discontinuities are the points at which the given function is not continuous, i.e. the limit of the given function doesn't exist.
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- Removable discontinuity: Discontinuity at a point which can be removed from the given interval.
- Jump Discontinuities: both one-sided limits exist, but have different values.
- Infinite Discontinuities: both are infinite.
- Endpoint Discontinuities: only one of the one-sided limits exists.
- Mixed: at least one of the one-sided limits does not exist.
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