Question

Graph the function f(x) = –x3 + 3 by hand (not to be submitted).

Part 1 [3 points] Use complete sentences to explain the process of graphing f(x) = –x3 + 3.
Part 2 [3 points] What is the end behavior of f(x) = –x3 + 3?

Answer 1

is that the graph of -3x+3 or the graph of x cubed plus three?

Answer 2

-3x+3

Answer 3

so do you realize that the f(x) is just function notation and can be substituted for y?

Answer 4

and then you can look at it as y=-3x+3. this is called the slope intercept form of the graph. that is "y=mx+b" so the "m" is the slope or rise over run, the "+3" is the y intercept. so you can start at the point (0,3) and use the fact that-3/1 is your slope, that means you have a rise of -3 and a run of one. So start at your first point drop three postions and go over one, then plot another point (-3,4) that is a second point. connect the lines and you have the graph of f(x)=-3x+3

Answer 5

second part: the end behavior is that the graph decreases on it's entire domain


I hope this helps

Answer 6

it doessssss!