2+3+5

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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}.

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

Graphing on a Number Line

Integers and real numbers can be represented on a

Figure 1. Number lines.

When graphing inequalities involving only integers, dots are used.

{

Figure 2. A graph of {x:1 ?

When

1.Graph the set of

{

2.Graph the set of

{

3.Graph the set of

{

This ray is often called an

Figure 3. A graph of {

Figure 4. A graph of {

Figure 5. A graph of {

An

1.Closed interval (see Figure 6).

{

2.Open interval (see Figure 7).

{

Figure 6. A graph showing closed interval {

Figure 7. A graph showing open interval {

If the interval includes only one of the boundaries, then it is called a

{

Figure 8. A graph showing half-open interval {

Jan 31, 2020 •
The Office Equipment & Supplies

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The solution set of a linear inequality in two variables (x,y) is one half of the Cartesian plane. The half-plane may or may not contain the boundary line defined by the = sign. Thus it is expected that the calculator shades the relevant half-plane. If you are dealing with nonlinear inequalities the calculator shades inside or outside the curve.

When drawing multiple inequalities the Casio offers you the possibility to shade the regions where ALL conditions (ALL inequalities) are simultaneously satisfied. The other option is OR.

**If you are not interested in the shading do not draw inequalities, draw equations (with =)**.

When drawing multiple inequalities the Casio offers you the possibility to shade the regions where ALL conditions (ALL inequalities) are simultaneously satisfied. The other option is OR.

Aug 23, 2013 •
Casio FX9750GII Graphic Calculator

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Choose one of the inequality type graphs

by pressing F3 Type.

Press F6 for the arrow on the right, you will get the other types

For example press F1 to select the Y greater than type graph.

Notice that on the top line Graph Func: Y>. From now on all the graphs you will draw will be Y> some function in X.

Start entering the function. As you start the screen will show Y1>

Enter the function for example sin(X^2). Use the X, theta, T to input the X variable.

Press the EXE key to complete the function line. The screen will look like on the following screen grab

Press the F6 key Draw to get your graph and the shaded region, as on the following picture:

by pressing F3 Type.

Press F6 for the arrow on the right, you will get the other types

For example press F1 to select the Y greater than type graph.

Notice that on the top line Graph Func: Y>. From now on all the graphs you will draw will be Y> some function in X.

Start entering the function. As you start the screen will show Y1>

Enter the function for example sin(X^2). Use the X, theta, T to input the X variable.

Press the EXE key to complete the function line. The screen will look like on the following screen grab

Press the F6 key Draw to get your graph and the shaded region, as on the following picture:

Jun 22, 2017 •
Casio FX-9750GII Graphing Calculator

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Your calculator does not have graphing capabilities. On a graphing calculator you would first select the graph type 1. function y= f(x), 2. parametric x=x(t), y=y(t), 3.polar r=function(theta).

Mar 03, 2013 •
Casio FX-115ES Scientific Calculator

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2answers

This happened to me. I left my calculator open in my bag and accidentally on the 20th function there was a multiply sign, so the calculator would directly output syntax error. Scroll down and check all your function slots are clear.

Sep 27, 2012 •
Casio Prizm FX-CG10 Color Graphing...

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Sorry but the calculator does not have a solving routine. You can however use the graphing capabilities of the Casio FX-7400GPLUS to solve an equation f(X)=0.

If you were hoping that this calculator would be able to factorize polynomials for your, sorry my friend it cannot.

- Graph the function Y=f(X)
- Use the trace function to locate the point(s) where the function vanishes (has value Zero)

If you were hoping that this calculator would be able to factorize polynomials for your, sorry my friend it cannot.

May 15, 2010 •
Casio FX-7400G Plus Calculator

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Sorry but the calculator does not have a solving routine. You can
however use the graphing capabilities of the Casio FX-7400GPLUS to solve
an equation f(X)=0.

If you were hoping that this calculator would be able to factorize polynomials for your, sorry my friend it cannot.

- Graph the function Y=f(X)
- Use the trace function to locate the point(s) where the function vanishes (has value Zero)

If you were hoping that this calculator would be able to factorize polynomials for your, sorry my friend it cannot.

Mar 27, 2010 •
Casio FX-7400G Plus Calculator

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1answer

A) Before drawing function Y1=f(X), R1=F(Theta), (X1=f(T0, Y1=f(T))

you should turn the statistical plots OFF.

To turn statistical plots off

B) If you cannot draw more than one function

Usually as soon as you start entering an expression in the Y= editor screen, the = sign is highlighted to ensure the drawing of a function. However, if you have previously used the Transfm application to draw dynamic graphs, it takes over the graphing functionalities from the native OS and you can only draw a single graph.

The reason is that dynamic graphing needs one or two parameters that can be changed during the graphing process and the graph redrawn with a new value of a parameter, and you end up with a family of curves differing one from the other by the values of one parameters. But since the calculator has space for 10 graphs at most, only one function can be highlighted.

To make a long story short, you must Uninstall the Transfrm application from memory. The procedure will not erase it, just kick it out of memory.

Another potential culprit is the Inequalz App. You recognoze that Inequalz is runnibg if the [ Y=] editor screen shows tabs at the bottom

To uninstall it, do as for the Transfm and select the option that will unload it from memory.

you should turn the statistical plots OFF.

To turn statistical plots off

- Press [2nd][Y=] to open the (STAT PLOT) menu.
- Select [4:PlotsOff] and
- Press [ENTER].
- Calculator displays Done
- Restart your graphs.
- Adjust the window dimensions if necessary or use the
ZOOM function to have all graphs displayed.

B) If you cannot draw more than one function

Usually as soon as you start entering an expression in the Y= editor screen, the = sign is highlighted to ensure the drawing of a function. However, if you have previously used the Transfm application to draw dynamic graphs, it takes over the graphing functionalities from the native OS and you can only draw a single graph.

The reason is that dynamic graphing needs one or two parameters that can be changed during the graphing process and the graph redrawn with a new value of a parameter, and you end up with a family of curves differing one from the other by the values of one parameters. But since the calculator has space for 10 graphs at most, only one function can be highlighted.

To make a long story short, you must Uninstall the Transfrm application from memory. The procedure will not erase it, just kick it out of memory.

- Press the [Apps] key.
- Scroll down or up to reach the
Transfmapplication.
- Select it and press [ENTER].
- If that application
was running you will see a new screen that tells you some thing like

- Transfrm App
- 1:Uninstall
- 2:Continue

Press1:Uninstall.

Graphing functionalities will revert to the native OS

Another potential culprit is the Inequalz App. You recognoze that Inequalz is runnibg if the [ Y=] editor screen shows tabs at the bottom

To uninstall it, do as for the Transfm and select the option that will unload it from memory.

- Press [Apps]
- Select [ : Inequalz]
- Screen displays INEQUAL RUNNING

- [1:Continue]
- [2:Quit Inequal]
- 3:About]

Feb 17, 2010 •
Texas Instruments TI-84 Plus Calculator

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2answers

To return your calculator's graphing equation to "Y=", press "MODE" from the home screen, then ensure that the option on the fourth row is set to "Func". Next, to show a hidden graph, access the Y= list, then press the left arrow key until the cursor is over the "=". Press "ENTER" to toggle visibility of that line.

Nov 13, 2009 •
Texas Instruments TI-84 Plus Calculator

11helpful

4answers

I am not quite sure what you are asking...

(1) if asking for graphing y= -2/3x+2, then press [diamond] [F1: Y=] type in .2/3x +2, see graph by [diamond][graph]

(2) if asking for graphing y= -2/3x+a, where a=3x, then first archive a=3x in Home screen by [home], type 3x [sto] a, then go back to y= menu, and type -2/3x+a in Y1

(3) if asking for graphing an equation that is dependent on 2 variables at the same time, use x-y-z axis (aka, change mode to graphing 3-D by [mode]graph [5:3D]) then enter desired equation in y= menu using Z function in terms of x and y aka z(x,y)= ...)

(1) if asking for graphing y= -2/3x+2, then press [diamond] [F1: Y=] type in .2/3x +2, see graph by [diamond][graph]

(2) if asking for graphing y= -2/3x+a, where a=3x, then first archive a=3x in Home screen by [home], type 3x [sto] a, then go back to y= menu, and type -2/3x+a in Y1

(3) if asking for graphing an equation that is dependent on 2 variables at the same time, use x-y-z axis (aka, change mode to graphing 3-D by [mode]graph [5:3D]) then enter desired equation in y= menu using Z function in terms of x and y aka z(x,y)= ...)

May 18, 2008 •
Texas Instruments TI-89 Calculator

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