Domain and range of function

1. You may input function in the green box.[br]2. Drag the blue point on the graph, you may find the corresponding y for that x.[br]3. Check the box 'Domain' on the LHS and drag the blue points on the graph will show you the Domain of the function on the graph.[br]4. Check the box 'Range' on the LHS and drag the blue points on the graph will show you the range of the function on the graph.

Domain of function

What is the domain of the function [math]y=-0.5x^2+8[/math]?

[math]x\ge0[/math] [math]x\ne0[/math] all real number of x [math]x\le0[/math]

Range of function

What is the domain of the function [math]y=-0.5x^2+8[/math]?

[math]y\ne8[/math] all real number of y [math]y\le8[/math] [math]y\ge8[/math]

Now input [math]y=x^3[/math] into the green box and answer the following questions:

Domain of function

What is the domain of the function [math]y=x^3[/math]?

[math]x\ne0[/math] [math]x\le0[/math] [math]x\ge0[/math] all real number of x

Range of function

What is the domain of the function [math]y=x^3[/math]?

all real number of y [math]y\le0[/math] [math]y\ge0[/math] [math]y\ne0[/math]

Domain and range of function

Domain of function

Range of function

Domain of function

Range of function

Information: Domain and range of function