Sketch the graph of an example of a function f that satisfies all of the given conditions.

Question

limx->0- f(x)=2

limx->0+ f(x)=0

limx->4-f(x)=3

limx->4+f(x)=0

f(0)=2

f(4)=1

Answer 1

o-------------------------------o

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o------------------------

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-1 0 1 2 3 4 5 6

Using limited graphing capability, this is my rendition of the function

f(x) = 2 when x ≤ 0

f(x) = 3 when 0 < x < 4

f(x) = 1 when x = 4

f(x) = 0 when x > 4