How do I graph x<-3 on the calculator? - Office Equipment & Supplies

https://www.youtube.com/watch?v=FHOE4EvYCm8

https://www.youtube.com/watch?v=IDG20QMlcm8

Graphing on a Number Line
Integers and real numbers can be represented on a number line. The point on this line associated with each number is called the graph of the number. Notice that number lines are spaced equally, or proportionately (see Figure 1).
Figure 1. Number lines.

Graphing inequalities
When graphing inequalities involving only integers, dots are used. Example 1 Graph the set of x such that 1 ? x ? 4 and x is an integer (see Figure 2).
{ x:1 ? x ? 4, x is an integer}

Figure 2. A graph of {x:1 ? x ? 4, x is an integer}.
When graphing inequalities involving real numbers, lines, rays, and dots are used. A dot is used if the number is included. A hollow dot is used if the number is not included.
Example 2 Graph as indicated (see Figure 3).
1.Graph the set of x such that x ? 1.
{ x: x ? 1}
2.Graph the set of x such that x > 1 (see Figure 4).
{ x: x > 1}
3.Graph the set of x such that x < 4 (see Figure 5).
{ x: x < 4}
This ray is often called an open ray or a half line. The hollow dot distinguishes an open ray from a ray.

Figure 3. A graph of { x: x ? 1}.

Figure 4. A graph of { x: x > 1}

Figure 5. A graph of { x: x < 4}
Intervals
An interval consists of all the numbers that lie within two certain boundaries. If the two boundaries, or fixed numbers, are included, then the interval is called a closed interval. If the fixed numbers are not included, then the interval is called an open interval. Example 3 Graph.
1.Closed interval (see Figure 6).
{ x: -1 ? x ? 2}
2.Open interval (see Figure 7).
{ x: -2 < x < 2}

Figure 6. A graph showing closed interval { x: -1 ? x ? 2}.

Figure 7. A graph showing open interval { x: -2 < x < 2}.
If the interval includes only one of the boundaries, then it is called a half-open interval.
Example 4 Graph the half-open interval (see Figure 8).
{ x: -1 < x ? 2}

Figure 8. A graph showing half-open interval { x: -1 < x ? 2}.

First step is to find inequality in the form y<f(x), in this case y<5-0.5x. Then graphing it. See captured image

Here is an absurd example of a piecewise function
Y1=11 for X less than 10
Y1=3 for X in the range [10, 20[
Y1=X+5 for X in the range [20, 30[
Y1=10 for X larger than 30

Here is the screen capture of the Y= editor window.
You have

1. the definition of the function within a domain, enclosed in () followed by the domain enclosed in ()
2. a + to introduce the second piece (definition) (domain)
   
3. + a third piece (definition ) (domain)
4. and so on.
5. Use the [2nd][TEST] key sequence to access the relational operators, less than, greater than, etc.

Here are two screen captures for the Y= editor and the resulting graph. You have to play with the window dimension to display a clear graph. Note : 3 pluses in equation, 4 pieces in graph. The + in the definition of the function, (X+5) in the third interval does not count towards the number of pieces.





You can use the logical AND operator in the definition of the limits of a domain. See screen capture below.

Go to http://education.ti.com/downloads/guidebooks/graphing/84p/TI84Plus_guidebook_EN.pdf to download the manual. On page 401, you will find the following:
INVALID DIM • The ERR:INVALID DIM error message may occur if you are trying to graph a function that does not involve the stat plot features. The error can be corrected by turning off the stat plots. To turn the stat plots off, press y , and then select 4:PlotsOff. • You specified a list dimension as something other than an integer between 1 and 999. • You specified a matrix dimension as something other than an integer between 1 and 99. • You attempted to invert a matrix that is not square.

Graph 2X PLUS 1 for X in open interval ]-1,0[

It should be entered as follows
(2X plus 1) (X larger than negative 1) (X less than zero)

In [Y=] editor and on line Y1= type your right hand side between parentheses (2X Plus 1). I use the Plus instead of the usual sign because the parser of the web site removes the sign.
[( ]2 [X,T,theta,n] [Plus] 1 [)] [(] [X,T,theta,n] [2nd][MATH] [3: larger than] [(-)] 1 [)] [(] [X,T,Theta,n] [2nd][MATH][5: less than] 0 [)]
Here are some screen captures to help you

Y1= (3) ( X

You need to adjust the range of your graph. On the graph menu press range then enter the values of x and y. Set Xmin to -4 and Xmax to 60, and ymin to 2.5 and ymax to 3.5. IThis should adjust it properly, as you say.
Happy Calculating

Hello,

First thing to do before any new type of problem
1. Turn StatPlots OFF : press [2nd][STATPLOT][4:PlotsOff] [ENTER]

Second thing: Clear the statistical lists
2. Press [2nd][0][PGRM] DownArrow to point to ClrAllLists.
3.Press [ENTER][ENTER]

Third thing : Configure the graph type to be FUNCTION graph
4. Press [MODE]. If FUNC (on fourth line) is highlighted. Press [Y=] and start entering the functions.
5. If FUNC is not highlighted, use Down arrow till 4th line, highlight FUNC and press [ENTER]. Press Press [Y=] and start entering the functions.

Fourth thing: Enter function and select them for graphing
1. As you start entering the function Y1=, notice that the = sign becomes highlighted. Press [ENTER] when Y1 is typed in. Make sure the = sign for Y1 remains highlighted as cursor moves to Y2=.
2. Keep entering the functions and verifying that their = signs remain highlighted as cursor moves to another equation.
3. When finished press [ENTER]
4. Look at the graph style for each function: it is a bit of line to the left of each Y. Here is a picture of all the 7 styles.



To set a graph style, highlight the style to the left of the Y, and press [ENTER]. Each time you press [ENTER] you see a new style, in the order shown on picture.
Avoid the style of Y6, it is bubble, and as such will burst and disappear once graph is finished. Avoid also the triangular ones (for Y3 and Y4) they will shade areas of the graph, and may hide other functions.

Fifth thing: Graph Functions.
1. You can press [GRAPH] to see your graphs.
2. If one curve is missing (and you have not set its style to be rhe bubble), it may be due to the Window dimensions.

Sixth Thing: Set Window dimensions and Zoom.
1. Press [ZOOM][6:ZStandard] to use standard window dimensions.
2. If curve still missing, Press [ZOOM][3:Zoom Out] to zoom out so that you may be able to see a bigger range for the functions.
3. If necessary press [WINDOW] and set the Xmin, Xmax, Ymin,Ymax to values of your own.



Dimensions must obey the conditions: Xmin < Xmax, and Ymin < Ymax.

Hope that helps.

Hello,
To enter the inequation you split it into two inequalities

Graph is as follows

Use [2nd][CATALOG] to access the relaional operators less than or equal, greater than or equal, and the operator AND.
To access the inequality signs scroll upwards from abs( to reach the bottom of the catalog.
Note: You can use t as variable only in parametric graphs. Use x.
Hope it helps.

Simple:

Hit this sequence:

"ZOOM" "0"

That is for the "Zoom Fit" option. The calculator does not like the window you have for the equation you've given it. With this option, it will automatically give you the best fit in the window for the equation!