Cartesian graphing y=f(x)

CalcES are fully supported function graph in Cartesian coordinates.

Cartesian graph y=f(x)

Example: y=x^3-4x+1

Enter function x^3-4x+1, and then press GRAPH

Entering y=x^3-4x+1 stills valid

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

See Wikipedia

Tangent

See 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, enter Sin(x):Cos(x):

Press GRAPH button to draw multiple graphs:

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=0.21

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