Welinvolved lutz-heilmann.info Inquiry & Answers Community. Ask any math/science homework-related question and receive answers from other members of the area.Q&A CategoriesBASIC MATH(93)PRE-ALGEBRA(441)ALGEBRA 1(2,216)GEOMETRY(864)ALGEBRA 2(2,745)TRIGONOMETRY(1,186)PRECALCULUS(1,903)CALCULUS(2,791)STATISTICS(129)PHYSICS(658)CHEMISTRY(136)MECHANICAL ENGINEERING(64)ELECTRICAL ENGINEERING(207)Winplot Tutorials(2)
Exsimple why the function is discontinuous at the provided number a . Map out the graph of the function. 0 votes

Explain why the feature is disconstant at the given number a . Map out the graph of the function.

You are watching: Explain why the function is discontinuous at the given number a.

f (x) = 1/(x + 2) a = - 2

Step 1:

The feature is

,
.

A feature

is constant at
, if
then it must accomplish three conditions :

(1)

is identified.

(2)

exists.

(3)

.

Substitute

in over expression.

is unidentified at
.

does not satisfies the condition.

So

is discontinuous at
.

Graph :

As

philosophies to -2 from left hand side,
tends to
.

As

approaches to -2 from appropriate hand side,
tends to
.

The feature

does not exist because the left and also right boundaries are different.

The attribute is discontinuous at

.

See more: At A Glance (Phrase) American English Def In A Glance Or At A Glance

Solution :

The function

is disconstant at
.