Question

Graph the piece function using the values of a and b that you have found. You may graph by hand or use your calculator to graph and copy and paste into the document.

-The problem numbers given will be drawn in an attached picture-

Answer 1

These are the numbers

Answer 2

\(f(x)=
\begin{cases}
3-x&x<1\\
2x^2+4x&1\le x<2\\
5x-10&x\ge 2
\end{cases}\) rather

Answer 3

o.. just graph it :)
I mean, you've covered piece-wise functions by now, or should have

Answer 4

That's the thing I don't know how to graph it.

Answer 5

well
do you know how to graph 3-x?
and \(2x^2+4x\)?

Answer 6

No I have no clue. I don't really understand this part of the chapter.

Answer 7

you'd graph 3-x first
the constraints are, x < 1
so, once the graph, goes past 1, including 1 and above, erase all that
because, greater than or 1, are not part of it

Answer 8

hmm lemme do a piece-wise quick

say for example... to graph \(f(x)=
\begin{cases}
x^2&x>2\\
-x&x\le 2
\end{cases}\)

so.. notice, we'd graph, the \(x^2\)
but excluding the graph from below 2
and below 2, we'll include the linear "x" line

so, the graph will look like

Answer 9

notice, the slanted line INCLUDES 2, the parabola, does not
because \(-x\quad x\le 2\)

Answer 10

also notice, because the parabolic equation, that is \(x^2\)
doesn't include values below 2, or even 2, is "erased" to the left of 2

Answer 11

so .. just do those there graphs first :)
and only include the graph, on the range provided

Answer 12

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIzLXgiLCJjb2xvciI6IiNEMTE5MTkifSx7InR5cGUiOjAsImVxIjoiMnheMis0eCIsImNvbG9yIjoiIzMzMUVENCJ9LHsidHlwZSI6MCwiZXEiOiI1eC0xMCIsImNvbG9yIjoiIzJERDQxRSJ9LHsidHlwZSI6MTAwMCwid2luZG93IjpbIi04LjEyNSIsIjguMTI1IiwiLTUiLCI1Il19XQ--

look at the red one for example
those are the 3 graphs, the red one is 3-x
so x < 1 means -> erase it from 1 and further up, 1, 2, 3, 4, 5 ......
because only values of x being below 1 are used, that is, 0, -1, -2, -3, -4, -15, -10000.....

Answer 13

Your graph must consist of 3 parts, reflecting the 3 algebraic sub-functions that make up the whole function.
If it'd be easier for you, graph each part, such as f1=3-x, as if the other two parts did not exist. Then, cut off all but the part of each graph specified by its domain. For example, graph f1= 3 - x for x < 1 only; erase the rest of this graph.

Answer 14

Is this what my graph should look like? @mathmale

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIzLXgiLCJjb2xvciI6IiNEMTE5MTkifSx7InR5cGUiOjAsImVxIjoiMnheMis0eCIsImNvbG9yIjoiIzMzMUVENCJ9LHsidHlwZSI6MCwiZXEiOiI1eC0xMCIsImNvbG9yIjoiIzJERDQxRSJ9LHsidHlwZSI6MywiZXEiOltbIjAiLCIwIl0sWyIxIiwiMSJdLFsiMiIsIjIiXSxbIjMiLCIxIl0sWyI0IiwiMi41Il1dLCJjb2xvciI6IiMwMDAwMDAifSx7InR5cGUiOjEwMDAsIndpbmRvdyI6WyItOC4xMjQ5OTk5OTk5OTk5OTYiLCI4LjEyNDk5OTk5OTk5OTk5NiIsIi00Ljk5OTk5OTk5OTk5OTk5OCIsIjQuOTk5OTk5OTk5OTk5OTk4Il19XQ--

Answer 15

Can you please help me? @123AB456C

Answer 16

@jhonyy9

Answer 17

@sleepyjess

Answer 18

What is the domain of f1=3-x? You will have to identify 3 such domains to finish the entire problem.
Answer: f1 is defined only for x < ?

Answer 19

I don't understand how to graph it into a piece wise function?

Answer 20

Please go back to my previous question and answer it.

Answer 21

f1= 3-x
f1= 3-1
f1= 2

Answer 22

Maria, I asked you to find the SET of x values (which I call a "domain") for which f1=3-x is defined. Note that your computer work has produced one red graph. That's the graph of f1=3-x, right? But in the end your overall graph will have 3 parts.

Once again, please go back tot he original problem statement and determine the interval (set of x values) for which f=f1=3-x.

Answer 23

"The first part of my overall graph is f1, defined as f1=3-x. This is not for all x, but only for the set of x values _____________________ " (Fill in the blank.)

Answer 24

Important: review jdoe's contribution; he listed the 3 parts of your graph and the sets of numbers for which the 3 parts are defined. His was the first reply you received.

Answer 25

Yes I understand that but when trying to graph a piece wise function you have to replace x with one.

Answer 26

can you please help? @Data_LG2

Answer 27

they are actually referring to the "domain" which is the one I circled here: http://i.imgur.com/ZlfhLXl.png

You have to consider that. From your graph, the red one refers to 3-x... but the x values that you only need to consider is all values of x that is LESS THAN 1.. this means that the red graph will stop at x=1 with an open circle since one is not included. This will be the first part of your graph. Can you try to draw this part first?

Answer 28

where would the open circle go?

Answer 29

"red graph will stop at x=1 with an open circle since one is not included"

Answer 30

Like this?