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

[table][tr][td]1.[/td][td]Enter the function in the input line and press Enter to define a new function.[/td][/tr][tr][td][/td][td][b][/b][b]Note[/b]: The graph of f(x) is automatically displayed in the Graph View. [i] [/i][/td][/tr][tr][td]2.[/td][td]Calculate the zeros of f(x) by typing in the input line and pressing Enter. [br][/td][/tr][tr][td]3.[/td][td]Determine the function values for x = -5, x = 0 and x = 2.15 by typing in the input line and pressing Enter.[/td][/tr][tr][td]4.[/td][td]Determine for which arguments x f(x) = 4 by typing in the input line.[/td][/tr][/table][b]Note[/b]: You can switch between [img]https://wiki.geogebra.org/uploads/thumb/6/66/Numeric_toggle_button.png/24px-Numeric_toggle_button.png[/img] numeric and [img]https://wiki.geogebra.org/uploads/thumb/8/8b/Symbolic_toggle_button.png/24px-Symbolic_toggle_button.png[/img] 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.

[table][tr][td]1. [/td][td]Enter the function [math]f\left(a,x\right)=\sqrt{x-a}[/math] in the input line to define a family of functions depending on the parameter a[/td][/tr][tr][td]2. [/td][td]Enter the function [math]f\left(0,x\right)[/math] in the input line and press Enter.[/td][/tr][tr][td][/td][td][b]Note[/b]: The graph of [math]f\left(0,x\right)[/math]is automatically displayed in the Graph View.[/td][/tr][tr][td]3.[/td][td]Repeat step 2 by typing [math]f\left(1,x\right)[/math], [math]f\left(2,x\right)[/math] and [math]f\left(-1,x\right)[/math] and display their graphs in the Graph View.[/td][/tr][tr][td]4.[/td][td]Compare the graphs of the family of functions and describe how they differ.[/td][/tr][tr][td]5.[/td][td]Activate the More button on the right side of [math]f\left(0,x\right)[/math]and select Value Table.[/td][/tr][tr][td]6.[/td][td]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.[/td][/tr][tr][td]7.[/td][td]Repeat step 5 for [math]f\left(1,x\right)[/math]to also create a value table for this function. [/td][/tr][tr][td][/td][td]Note: f(0, x) and f(1, x) are automatically designated g(x) and h(x).[/td][/tr][tr][td]8. [/td][td]Compare the function values from [math]f\left(0,x\right)[/math] and [math]f\left(1,x\right)[/math] in the table view.[/td][/tr][/table]