Create the graph of a function, y = p(x), such that: lim p(x) = 1 x+3* lim p(x) =- 3 x→2 lim p(x) =- 2 x→6 Р(6) %3— 2 Determine the instantaneous rate of change of p(x) at x=2. Does p(x) have any discontinuities, if so, where?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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If there's a "+" sign on the limit, the function must only approach the limit from the right. If the limit has no "+", the function must approach the limit from the left and right sides. Thank you! 

Create the graph of a function, y = p(x), such that:
lim p(x) = 1
lim p(x) =- 3
x→2
lim p(x) =- 2
x6
p(6) =- 2
b.
Determine the instantaneous rate of change of p(x) at
x=2.
с.
Does p(x) have any discontinuities, if so, where?
Transcribed Image Text:Create the graph of a function, y = p(x), such that: lim p(x) = 1 lim p(x) =- 3 x→2 lim p(x) =- 2 x6 p(6) =- 2 b. Determine the instantaneous rate of change of p(x) at x=2. с. Does p(x) have any discontinuities, if so, where?
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