Sketch graph of piecewise function f(x) = 1+x [x<-1], x^2 [-1<=x<1], 2-x [x>=1]

[Diana_cthulu]

Sketch graph of piecewise function f(x) = 1+x [x<-1], x^2 [-1<=x<1], 2-x [x>=1]

I am really confused on how to start the graph in (Q.11) and from where do i get the points in order to plug it in the graph

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11. Sketch the graph of the function and use it to determine the values of a for which \(\displaystyle \lim_{x \rightarrow a}\, f(x)\) exists.

. . . . .\(\displaystyle f(x)\, =\, \begin{cases}1\, +\, x&\, \mbox{ if }\, x\, <\, -1\\x^2&\, \mbox{ if }\, -1\, \leq\, x\, <\, 1\\2\, -\, x&\,\mbox{ if }\, x\, \geq\, 1\end{cases}\)

 

[Deleted member 4993]

I am really confused on how to start the graph in (Q.11) and from where do i get the points in order to plug it in the graph

Do you know:

How to plot y = 1 + x

How to plot y = x^2

How to plot y = 2 - x

 

[chris84567]

I am really confused on how to start the graph in (Q.11) and from where do i get the points in order to plug it in the graph

Its a piece wise function, basically the first part of { is the equation and after the comma (usually a comma in your case it is an if statement) is where you use it.

Desmos is what I use most of the time to graph but it has them in reverse order but here is it graphed
https://www.desmos.com/calculator/smlujqfxfj

 

[mmm4444bot]

Desmos is what I use most of the time to graph …

Desmos does a nice job. However, in this exercise, I'm thinking that Diana_cthulu's graphing assignment is supposed to be done by hand. :cool:

 

[Diana_cthulu]

Really thankful for the help,
i figured out that i need to find numbers that are between the inequities and then graph it and find the limits.