Question

One of the many amazing things that Geogebra can graph is piecewise functions. For example, do you know what the graph of f(x) = { x + 2, if x < -1; x^2, if -1 ? x < 2; 3, if 2 ? x. looks like? Well Geogebra does! Here is how to get Geogebra to graph this complicated function: 1. In the Input box type p(x)=if[ 2. Type in the conditions of the first function followed by a comma: x < -1, 3. Type in the expression of the first function followed by a comma: x+2, 4. Type if[ 5. Type in the conditions of the second function followed by a comma: -1 ? x && x < 2, (Note: When x is limited on two sides as in this example, -1 ? x < 2, the conditions of the function must be written separately with two ampersand signs && between them. Otherwise, GeoGebra will not recognize the command.) 6. Type in the expression of the second function followed by a comma: x^2, 7. Type If[ 8. Type in the conditions of the third and final followed by a comma: 2 ? x, 9. Type in the expression of the third function: 3 10. Type in three closed brackets: ]]] and press <Enter> Geogebra does not do a perfect job, since it does not quite get the endpoints of the three pieces exactly correct, but it does a pretty good job overall. Copy and paste a nice picture of your piecewise graph in the space below:

          One of the many amazing things that Geogebra can graph is piecewise functions. For example, do you know what the graph of

f(x) = {
x + 2, if x < -1;
x^2, if -1 ? x < 2;
3, if 2 ? x.

looks like? Well Geogebra does! Here is how to get Geogebra to graph this complicated function:

1. In the Input box type p(x)=if[
2. Type in the conditions of the first function followed by a comma: x < -1,
3. Type in the expression of the first function followed by a comma: x+2,

4. Type if[
5. Type in the conditions of the second function followed by a comma: -1 ? x && x < 2, (Note: When x is limited on two sides as in this example, -1 ? x < 2, the conditions of the function must be written separately with two ampersand signs && between them. Otherwise, GeoGebra will not recognize the command.)
6. Type in the expression of the second function followed by a comma: x^2,
7. Type If[
8. Type in the conditions of the third and final followed by a comma: 2 ? x,
9. Type in the expression of the third function: 3
10. Type in three closed brackets: ]]] and press <Enter>

Geogebra does not do a perfect job, since it does not quite get the endpoints of the three pieces exactly correct, but it does a pretty good job overall. Copy and paste a nice picture of your piecewise graph in the space below:

One of the many amazing things that Geogebra can graph is piecewise functions. For example, do you know what the graph of

f(x) =
x + 2, if x < -1;
x^2, if -1 ? x < 2;
3, if 2 ? x.

looks like? Well Geogebra does! Here is how to get Geogebra to graph this complicated function:

1. In the Input box type p(x)=if[
2. Type in the conditions of the first function followed by a comma: x < -1,
3. Type in the expression of the first function followed by a comma: x+2,

4. Type if[
5. Type in the conditions of the second function followed by a comma: -1 ? x x < 2, (Note: When x is limited on two sides as in this example, -1 ? x < 2, the conditions of the function must be written separately with two ampersand signs between them. Otherwise, GeoGebra will not recognize the command.)
6. Type in the expression of the second function followed by a comma: x^2,
7. Type If[
8. Type in the conditions of the third and final followed by a comma: 2 ? x,
9. Type in the expression of the third function: 3
10. Type in three closed brackets: ]]] and press <Enter>

Geogebra does not do a perfect job, since it does not quite get the endpoints of the three pieces exactly correct, but it does a pretty good job overall. Copy and paste a nice picture of your piecewise graph in the space below:

Added by Michael S.

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