Defining functions

Task

Define a function, draw its graph in the Graphics View and specify some function values and arguments.

1.	Enter the function in the input line and press Enter to define a new function.
	Note: The graph of f(x) is automatically displayed in the Graph View.
2.	Calculate the zeros of f(x) by typing in the input line and pressing Enter.
3.	Determine the function values for x = -5, x = 0 and x = 2.15 by typing in the input line and pressing Enter.
4.	Determine for which arguments x f(x) = 4 by typing in the input line.

Note: You can switch between

numeric and

symbolic output after calculating the function values and arguments by selecting the appropriate toggle button.

Draw a family of functions and compare their function values using the table view.

1.	Enter the function in the input line to define a family of functions depending on the parameter a
2.	Enter the function in the input line and press Enter.
	Note: The graph of is automatically displayed in the Graph View.
3.	Repeat step 2 by typing , and and display their graphs in the Graph View.
4.	Compare the graphs of the family of functions and describe how they differ.
5.	Activate the More button on the right side of and select Value Table.
6.	In the dialog box, set the start value to -1, the end value to 5 and the step size to 1. Choose OK to confirm your settings.
7.	Repeat step 5 for to also create a value table for this function.
	Note: f(0, x) and f(1, x) are automatically designated g(x) and h(x).
8.	Compare the function values from and in the table view.