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Home Q & A Board Science-Related Homework Help Mathematics Calculus
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connie.thraya connie.thraya
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4 years ago
Let

𝑓(𝑥)=
−𝑥+𝑏, if 𝑥<2
4, if 𝑥=2
−16𝑥−𝑏+0, if 𝑥>2(and 𝑥≠𝑏)

a) For what value(s) of 𝑏 does 𝑓 have a removable discontinuity at 2?

Answer: 𝑏=

b) For what value(s) of 𝑏 does 𝑓 have a (finite) jump discontinuity at 2? Write your answer in interval notation.

Answer: 𝑏 is in the set
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wrote...
#1
4 years ago
A removable discontinuity is a value of b where the limit as x->2 from below and the limit as x->2 from above are equal. Your first job is to find those two limits in terms of b.
wrote...
#2
Educator
4 years ago
Quote from: connie.thraya (4 years ago)
−16𝑥−𝑏+0, if 𝑥>2(and 𝑥≠𝑏)

That part confused me.

Is this is function:
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