Tracing Graphs of Functions

Graphs up to two functions simultaneously, and traces the graphs of the functions, to explore values of functions and points of intersection.
How to use   ||   Examples   ||   Other Notes


How to use
The text input fields for f1(x) and f2(x) can accept a wide variety of expressions to represent functions, and the buttons under the graph allow various manipulations of the graph coordinates.
Examples
Intersecting Lines:   
f1(x)=x-1
f2(x)=2-x/2
Line and Parabola:   
f1(x)=x2
f2(x)=2-x)
Sine and Cosine:   
f1(x)=sin x
f2(x)=cos x)

Other Notes
The labels marked "f1(c)=" and "f2(c)=" give the values of the functions f1(x) and f2(x) when x=c, where c is the value given in the field marked "c=" (the horizontal position of the green points on the graph).

By using the tracing actions with the green points on the graphs, it is possible to approximate and explore intersection points of graphs. To find such points more precisely, combine the tracing actions with using the "Zoom In" button under the graph. All of the examples above have graphs which intersect. In the "Sine and Cosine" example above, the graphs intersect at points corresponding to values c=pi/4, 3pi/4, 5pi/4, etc.