MHB What is the slope of functions at the edge case of $x=1$?

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How can you solve something like this ?

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Sithira said:
How can you solve something like this ?

Hi Sithira! Welcome to MHB! ;)

We have 2 edge cases here around the point(s) where $x=1$.

Suppose we had $f(x)=x^2-1$.
What would the slope be at $x=1$?
Does its graph include the point $(1,0)$?

As for the second edge case, suppose we had $f(x)=2x+1$.
What would the slope be at $x=1$?
Does its graph include the point $(1,0)$?
 

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