Rational Function Discontinuity

• Continuous      

• Discontinuous at x=4; Infinite 

• Discontinuous at x=4; Jump

• Discontinuous at x=4; Removable

Examine the given function below and classify it accordingly.

• Discontinuous at x=5; Jump

• Discontinuous at x=5; Removable            

• Continuous

• Discontinuous at x=5; Infinite

Examine the given function below and classify it accordingly.

• Discontinuous at x=3; Jump                 

• Discontinuous at x=3; Removable        

• Discontinuous at x=3; Infinite

• Continuous

Choose the type of Discontinuity on the given graph

• Jump

• Infinite

• Removable

• Rational

Polly was given the rational function shown. f\left(x\right) = \frac{x+3}{x^2+x-6}+4 What discontinuities did Polly discover upon her investigation of this function?

• x=2

• x= -3

• x= 4

• x=3

• x= -2

Polly was given the rational function shown. f\left(x\right) = \frac{x+3}{x^2+x-6}+4 What discontinuities did Polly discover upon her investigation of this function?

• x=2

• x= -3

• x= 4

• x=3

• x= -2

What is x-value for the point of discontinuity?

Mathematical Equivalence

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The function has a (n)​ (a)   discontinuity at ​ (b)  

• removable

• x=3

• infinite

• jump

• x=-3

• x=-6

• x=9

• x=2

• x=5

Tags

continuity

The function has a (n)​ (a)   discontinuity at ​ (b)  

• removable

• x=3

• infinite

• jump

• x=-3

• x=-6

• x=9

• x=2

• x=5

Tags

continuity

• removable

• x=2

• jump

• infinite

• x= -2

• x=5

• x= -5