Limits of polynomial functinos

[thomasrules]

Invent a function and sketch its graph to satisfy each situation

lim_x-0+ f(x)=3 and lim_x-0- f(x)=-2

I can't figure out an equation for that

 

[Hootenanny]

Think about where your asymptotes are going to be.

 

[HallsofIvy]

Do you mean
$$\lim_{x\rightarrow 0^+} f(x)= 3$$
and
$$\lim_{x\rightarrow 0^-} f(x)= -2$$
?

There are an infinite number of such functions- that's why they say "invent a function". The simplest example is "piecewise constant", a constant for x> 0, another for x< 0.

 

[thomasrules]

yes that is what i mean but somethign like $$f(x)=x+3$$ wouldn't work

 

[HallsofIvy]

I said "piecewise constant"- one constant value for x< 0, another for x> 0. What do you think those values should be?