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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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)
%3D
x + 4
jump discontinuities
X =
removable discontinuities
X =
infinite discontinuities
X =
other discontinuities
X =
Transcribed Image Text: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) %3D x + 4 jump discontinuities X = removable discontinuities X = infinite discontinuities X = other discontinuities X =
Expert Solution
Step 1

The given function is fx=5x2+4.

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.

    • 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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