Question 1136207: I am desperate for help with this. I am not even sure how to start this. If anyone can assist, I would be grateful. We all have strep throat in my house and I am in so much pain that I cannot concentrate. I will be very thankful for some help with this.
This assignment is a graphing exercise to help you get a feel for polynomial functions of first degree (linear), second degree (quadratic), and third degree (cubic).
This assignment will consist of a number of graphs on the same coordinate axis; this is a graphing "by hand" assignment so no fair using technology. After you have plotted the points, attempt to draw a "smooth" curve through those points for each function; you will have three "smooth" "curves" on each page.
So let's start with three basic functions:
Linear f(x) = x,
Quadratic g(x) = x2, and
Cubic h(x) = x3.
1st Page; use entire page!
On the same coordinate axis, graph the functions above using these x-values to determine the points:
Linear: x
ϵ
{ -5, -2, -1, 0, 1, 2, 5 }
Quadratic: x
ϵ
{ -3.5, -3, -2, -1, 0, 1, 2, 3, 3.5 }
Cubic: x
ϵ
{ - 2.25, -2, -1, 0, 1, 2, 2.25 }.
2nd Page; use entire page!
Using the same x coordinates ("abscissas" in the lingo of the discipline) above:
graph the following three functions on the same coordinate axis.
f(x) = - x,
g(x) = - x2, and
h(x) = - x3.
3rd Page or in text box.
What does the negative sign "do" to the original graphs?
Describe the overall shape of each function.
Answer by solver91311(24713)   (Show Source):
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