Won't Graph Exponential Function

Select two points P1 and P2 on the line. Read their coordinates P1(X_1, Y_1), and P2(X_2, Y_2). If the points are given to you that is even better: you will not have to approximate their coordinates.
The slope of the straight line that passes through P1 and P2 is the ratio s=(Y_2-Y_1)/(X_2-X_1).
A slope is a number and cannot be graphed. The line that has the slope can be graphed if you have its complete equation y=slope*x + initial value.
To graph a curve on the TI84 open the Y= editor, type in the second member (right side) of the function say on line Y1= then press the Graph function key.

The graph of y=22log(10) is a straight line, though it should go through (0,0) and (1,22). Log(10) is a constant 1, so the function is simply y=22x .

If you want "twenty-two times log-base-ten of x", write it as 22*log(x) .

The function y= 3^x-4^x -1 (3 to the power of x, etc..) is a well-behaved function that should not give you any problem. It is a decreasing exponential (power function). Reset Calculator to defaults and try again. Leave Xscale at 1.

The vertical line is called an asymptote, it is not connecting the graph, it means that the function goes to infinity as the function nears the line. In this case the graph goes to infinity and negative infinity as the x nears 7. This is because the function becomes undefined at x = 7 , plug 7 into x and we get 1/0, dividing by zero is undefined. Thus, the calculator puts the vertical asymptote in the graph to symbolize the action of the function nearing infinity.

To enter a variable in a function definition, you can press the [X,T, Theta, n] to the right of the [ALPHA] key.
If your function mode is y=f(X), the key will type X. If function mode is parametric, the key will type T, and if the graph mode is polar or sequence, the [X,T,Theta,n] key will type Theta, or n, respectively.

For any other symbol use the [ALPHA] entry mode.

Here is a solution.


Graph the function over the domain [-Pi,+Pi]
Then press the [SHIFT][MENU] (SETUP) and in option [Dual Screen] select [G to T] Graph to table. The screen will be spilt in two, but the Table part remains empty.
Press [SHIFT][F1] (TRACE), the cross hair appears on screen.
Move it around on the curve
If you press [EXE] at a cross hair location, the table records the X and Y value. On the following screen capture, the exponential function is graphed along with sin(X) and the table is populated by selected values of the exponential.



Now rate all the solutions I provided for you

A. This is due to a mathematical error such as

1. dividing by 0,
   
2. an illogical operation,
   
3. calculations outside the range of a function,
   
4. using the exponential function with the [^] key,
   
5. logarithm of a negative number,
   
6. calculating the factorial of numbers larger that 69,
   
7. what have you.
   
8. Check the expression of the function you are trying to graph.

B. Reset your calculator and start again: Press the button on the back of the calculator; use a starightened paper clip.Draw the line y=XPress Menu.

1. Use keys to highlight [GRAPH] and press [EXE].
2. Make sure the screen that opens says Graph Func Y= at the top.
3. On the Y1= line enter X (use the [X,theta,T] key under the [ALPHA] key.
4. Press [F6:Draw].
5. You should see a staright line passing through the origin (0,0).
   

Hello,
Before starting to graph Y= function, you should Turn STATPLOTS off.
Press [2nd][STATPLOTS] [4:PlotsOff]. command echoes ob screen as PlotsOff . Press [ENTER] to execute it. Calc answers Done.
Press [MODE]
See if Func, (4th line) is already highlighted.
If it is press Y= to start entering the functions.
If it is not highlighted, scroll down to 4th line, then use arrow to highlight Func an press ENTER.

Then press Y= and enter the function. You see that as you enter the function the equal sign becomes highlighted white on dark. Finish entering the sunction and press ENTER. Cursor move to Y=2. Make sure that the equal sign for Y1= is still highlighted. If not, move the cursor on it and press [ENTER].

You can enter the variable X by pressing the [X,T,theta,,n] button to the right of the green [ALPHA] key. Or, alternatively, you press [ALPHA] [STO->] (X).

To graph Press [GRAPH]. If you do not see anything on screen, it may be due to the window dimensions. You can modify the window by pressing the [WINDOW] button.

To test you configuration, I suggest you graph Y1=e^(x) and Y2= ln(x)


You access the exponential e by [2ND] [LN] (e^x) and the natural log by pressing [LN]. In each case you have to enter the right parenthesis.
This what you should get.

If you are not familiar with these function, just enter Y1=X and you will see a staright line passing through the origin (0, 0), just like the one on the following screen capture.



Hope it helps.

Hello,
1.Press [MODE], scroll to set Function graphing mode.
2.Press [STAT] [5:SetUpEditor], command is pasted in home screen. Press [ENTER]. Screen displays Done. This clears old values in lists

3. Press [STAT][1:Edit] to enter data.
Press [ENTER] after each number. Cursor moves to next row. After finishing the data of Listt L1, use arrow right and UP to the head of list L2. Enter the values in list L2. Press Enter after last element.

4. Press [Y=] to display Y= editor. Clear function Y1 and all functions or remove highlight from the = in Y2, Y3, etc.
5.Press [2nd][STATPLOT]1 to select 1:Plot1


The blinking cursor on ON means graph will be drawn. Type chosen is Scatter plot. Mark chosen is a dot.

Press [ZOOM][9:ZoomStat]

If you think that the curve look like a straight line you can try to do a linear regression.
Press [STAT] Arrow right to highlight [CALC]
Select [4: LinReg(ax+b)]



LinReg(ax+b) echoes on run screen. Press [2nd] L1 Press comma, Press [2nd] L2 press comma Press [VARS] Arrow right to select [Y:VARs][1:Function] [ENTER][1:Y1]

ENTER

That is the equation for the linear regression. As you see eqaution has been saved in Y1. Press [GRAPH] to get the data and the regression curve drawn on same graph.


Hope it helps.

Hello,
I am afraid I am missing something here. You can start with the expression of a function and have it graphed on a graphing calculator.
Or you can enter the experimental data, represent them on a graphing calculator and ask the calculator to find the curve that fits the data best, and once that curve is found to give you the equation.
However your calculator does not have the graphing capabilities. All you can do is enter the data and ask the calculator to perform a regression to obtain the expression of the function that fits best.

The available options for the calculator are accessible by pressing [MODE][3:Stat] and
2. A+BX linear
3: _+cX^2 quadratic
4: ln X logarithmic
5: e^X exponential
6:A*B^X power
7: A*X^B Polynomial
8: 1/X

Hope it helps.