Cartesian graphing y=f(x)

CalcES are fully supported function graph in Cartesian coordinates.

Cartesian graph y=f(x)

Example

Example: y=x3−4x+1

1. Enter function x3−4x+1, and then press GRAPH

   Note

   Entering y=x3−4x+1 stills valid

   

2. Tap the Graph button to draw graphs:

   

Working with function graph

Tracing

Using the Tracing option to view value graph at a point

Roots (x intersect points)

Enable Root option, all roots will show

Derivative

Enable Derivative option, a dash line represents the derivative of function will show

Extrema points

Enable Extrema option, all local/global maximum/minimum points will show

Inflection points

Enable Inflection option, all inflection points will show

Inflection point Wikipedia

Tangent

Tangent Wikipedia

Using Trace and Tangent options to show tangent line at a specific point

Intersect points

Entering more than 1 functions to show intersection points between them. Using : to enter multiple Cartesian functions:

y(x):g(x):h(x)

Example

1. Example, enter Sin(x):Cos(x):

   

2. Press GRAPH button to draw multiple graphs:

   

3. Enable Intersection option, all intersection points between the selected function and others will show

   

Other examples

The Calc panel

The Calc panel allow to you calculate with selected function

Value at a point

Derivative at a point

Root in given range

Minimum value in given range

Maximum value in given range

Integral at in given range

Tab Calc to open CALC panel:

Value at a point / Derivative at a point

Properties of graph at x=2.1

x=2.1
y=0.863209367
dy/dx=-0.504846105
d^2y/d^2x=-0.863209367

Root in given range

First root of Sin(x) from -2 to -1

x=12.566370614
y=-0

Minimum value in given range

Minimum value of Sin(x) from -2 to -1

xMin=-1.570796153
yMin=-1

Maximum value in given range

Maximum value of Sin(x) from -2 to -1

xMax=-1.000000435
yMax=-0.84147122

Integral at in given range

For integral tab, the graph will display additional shading in given range. Integral of Sin(x) from -2 to 3.

=0.57384566

The TABLE panel: generate table of values

The Table panel allow you to generate a table of values. Tap the Table button to open it:

Here is the table of values of y=Sin(x) with Δt=1, and start at 0

To change the Δt or the Start value, tap the edit icon on the left of Δt:

Tap the edit icon to change value of Start and Step:

Example, Start=0.5 and Step=0.25

Tap Save to recalculate the table of Sin(x):

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Updated at Thu 21 Dec 2023