Create Your Own: Building Functions Graphically

[size=100][size=150][b]Teachers:[/b][br][br]These exercises are identical to the ones seen [url=https://www.geogebra.org/m/nbkus6jr]here[/url]. Yet the only difference is that the LARGE COLORED POINTS on the graphs of[b][i][color=#ff7700] f [/color][/i][/b]and [b][color=#1e84cc][i]g [/i][/color][/b]are moveable so you can create your own exercises for students. [br][br][b]To Do This:[br][/b][list=1][*]Select the 3 dots in the upper right corner. [/*][*]Select [i]Copy Activity[/i][/*][*]Edit this copy and save your changes.[/*][*]Go to your GeoGebra profile page and find it there. [/*][*]Create a GeoGebra class from this. [/*][/list][/size][/size]
[size=150][b]For each exercise:[/b][br][list=1][*]Plot several points that lie on the graph you're asked to construct. To do this, you can use the POINT tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon] or simply use the Input... line (at bottom) [/*][*]Use the PEN tool [icon]https://www.geogebra.org/images/ggb/toolbar/mode_pen.png[/icon] to hand-sketch the graph as best you can.[/*][/list][/size]
Sketch the graph of (f + g).
Sketch the graph of (g - f).
Sketch the graph of f(g(x)).
Sketch the graph of g(f(x)).

Information: Create Your Own: Building Functions Graphically