GraphingCalculator 4;
Window 101 633 829 1711;
FontSizes 20;
DrawGraph 0;
PaneDivider 504;
BackgroundType 0;
BackgroundColor 255 255 255;
StackPanes 1;
2D.BottomLeft -4.171875 -4.359375;
2D.GraphPaper 0;
Text "**Function Notation in GC**
•Type f ctrl-9 x = x^2 cos(x) to define the function f. This is just a definition. It is not a command to graph.
•Use ctrl-9 ONLY with functions you define. DO NOT use ctrl-9 for builtin functions like sin, cos, etc.
⬇︎Define the function *f* as stated above.";
Expr ?;
Text "⬇︎Graph *y* = *f*(*x*)";
Color 3;
Expr ?;
Text "⬇︎Graph *y* = ln (2*f*(*x*))+cos (*f*(*x*))";
Color 2;
Expr ?;
Text "⬇︎Type ctrl-shift-S to get a summation sign in GC. Define a function *g* so *g*(*n*) gives the sum 1 + 3 + 5 + … + n-th term. Test your function with several input values. Then graph *y* = *g*(*x*), *x* > 0.
";
Color 17;
Expr ?;
Color 17;
Expr ?;
Expr y=?;
Text "⬇︎Type ctrl-shift-A to split a function definition into multiple parts. Type if (condition) after the mathematical expression to stipulate the condition that must be true to execute that part of the definition.
Define a function *h* that will have the value (x-1)^2 if *x* is less than or equal to 1 and equals x^2 - 1 if *x* is greater than 1. Graph the function *h.
";
Color 17;
Expr ?;
Color 8;
Expr y=?;
Text "Is the function **h* continuous? Does *h* have a continuous rate of change? How would you define a function *j* whose values give an approximation to the rate of change of *h*(*x*) with respect to *x* at each value of *x*?";
Color 17;
Expr function(h,x)=?;
Color 3;
Expr y=function(h,x);