What is a piece wise defined function


Discuss the below:

Q: Note: this is a piece wise defined function

x^(2) + 5, if xLet f(x) = d, if x=b
x^(2) - 8x, if x>b

a) Find b such that lim f(x) exists.
x->b

Note: Enter does not exist if no b exists which make the limit well defined.

b) Find the value of d if f is continuous at b.

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Mathematics: What is a piece wise defined function
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