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Graphing Examples


A Scientific, Financial & Graphing Calculator for Windows

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Graphing Sine & Cosine

Sine and Cosine Functions

Sine & Cosine Functions

Input Plot A: sin(x)
Plot B: cos(x)
Range 0; 2pi
Angle Mode Radians
No. Points 100

Square Wave with Random Noise

Square Wave with Random Noise

Input SIGN(sin(x)) + 0.2 * Ran# - 0.1
Range 0; 3
Angle Mode Cycles
No. Points 100
Notes The SIGN function converts sine into a square wave, while Ran# adds "noise". The noise will change each time you plot the function.

Graphing an Asymptote


Input 1 / x
Range -10; +10
Angle Mode N/A
Interval 0.5
Notes Use "Interval", not "No. Points" so as to create a discontinuity at x = 0 (i.e. 1 / 0 -> INFINITY).

Daylight Hours in London & New York

Total Daylight Hours in London (Plot A) & New York (Plot B) throughout the Year

Input Plot A: x DLHRS 51.53
Plot B: x DLHRS 40.78
Range 1; 365
Angle Mode Degrees
No. Points 100
Notes The y-axis indicates the total hours of daylight throughout the year for London and New York. The x-axis is the day number.

Plot A: London (latitude 51.53)
Plot B: New York (latitude 40.78)

DLHRS returns the number of daylight hours given a day-of-year and latitude, where: (doy) DLHRS (latitude). You can replace the latitude in the formula with your own. For more information about the DLHRS function.

Equation of Time

Equation of Time

Input 9.87 * sin (2 * 360 * (x - 81) / 364) - 7.53 * cos (360 * (x - 81) / 364) - 1.5 * sin (360 * (x - 81) / 364)
Range 1; 365
Angle Mode Degrees
No. Points 100
Notes The "equation of time" approximates the difference between the apparent time and mean time (i.e. between solar noon and noon on the clock) throughout the year. The difference is due to a combination of the obliquity of the Earth's rotation axis and the eccentricity of its orbit.

Creating a Polar Chart

Polar Chart

Input exp(cos(x)) - 2 * cos(4*x) + sin(x/12)
Range 1; 12pi
Angle Mode Radians
No. Points 2000
Notes Enter the above equation and select: Axes->Polar Plot.

Histogram Chart

Histogram Chart in Standard Data Mode

Mode Standard Data (SD)
Chart Histogram (Auto)
Data (Val, Fq) (5, 1) (15, 3) (25, 8) (35, 18) (45, 24) (55, 22) (65, 15) (75, 8) (85, 0) (95, 1)

Cashflow Chart

Cashflow Chart (Professional Edition Only)

Mode Any - cashflows are independent.
Chart Cashflow
Cashflow -2000, 3232, 7000, 9535, 13500, 21543, 12545, 18232, 11033, 7543, 5075

Quadratic Function Plot & X-Y Regression

This is an exercise where we will use the Function Grapher to generate a quadratic equation plot and export the data points to the X-Y list. We will then plot the X-Y list points with a quadratic line of best fit and determine the coefficient values used to originally create the graph.

1. To begin, put the calculator into Quadratic X-Y mode, i.e. select: Mode->Quadratic Regression Mode.
2. Go to the Function Grapher, i.e. Chart->Function Grapher.
3. Important: Check the Output to X-Y List box.

Quadratic Plot with Minimal Three Points

Input 1.2x^2 - 3x + 5
Range -2; +4
Angle Mode N/A
No. Points 3
Notes We have chosen only 3 points because that is the minimum needed for quadratic regression, but you may use more if you wish.

5. Switch from the Function Grapher to an X-Y plot, i.e. select: Chart->Scatter Points.
6. Ensure that the Chart->Show Regression Fit menu option is checked.

Quadratic Regression Plot

If the information at the bottom of chart is not visible, select: View->Show Footer.

Here we can that see our original quadratic equation has been determined from the points in the X-Y list, as described by the coefficients values: +1.2, -3, +5 respectively.

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