[Honors Algebra II] Graphing and Domain/Range Stuff

[forever2wheels]

I have some problems like these:

Directions: Graph the function and find the range
3. y = x + 3, domain = {non-negative integers}

so I came up with these points - (0, 3), (1,4), (2,5), (3,6)
I graphed that. So is my anwser all the Y values (and the graph)?

Then they get harder which is where I get lost.

Like number 12 y = -xtothepowerof2 + 5.4x + 1, domain = {positive numbers}

How to I go about doing that problem?

Also, is there an easy way to type the range/domain on the calc (TI-83)
that can give you the graph and everything. I'm not sure how you get the domain in there, I know how to type in the y values.


Any help is greatly appreciated! Thanks! :]

 

[Deleted member 4993]

]I have some problems like these:

Directions: Graph the function and find the range
3. y = x + 3, domain = {non-negative integers}

Since x >=0, y must be >=3

so range is [3, inf.)

so I came up with these points - (0, 3), (1,4), (2,5), (3,6)

I graphed that. So is my anwser all the Y values (and the graph) - no there is a minimum value of y?

Then they get harder which is where I get lost.

Like number 12 y = -xtothepowerof2 + 5.4x + 1, domain = {positive numbers}

This is a parabola - opening down

What is the minimum value of y (in the given domain)?

What is the maximum value of y (vertex of the parabola)?

How to I go about doing that problem?

Also, is there an easy way to type the range/domain on the calc (TI-83)
that can give you the graph and everything. I'm not sure how you get the domain in there, I know how to type in the y values.


Any help is greatly appreciated! Thanks! :][/color]