SOLUTION: I am not really understanding how to do this, I need to evaluate each of the functions below at x= 1,2,4,8, and 16. Plot the graph of each function. Classify as linear, quadratic

Algebra ->  Graphs -> SOLUTION: I am not really understanding how to do this, I need to evaluate each of the functions below at x= 1,2,4,8, and 16. Plot the graph of each function. Classify as linear, quadratic      Log On


   

Question 237214: I am not really understanding how to do this,
I need to evaluate each of the functions below at x= 1,2,4,8, and 16. Plot the graph of each function. Classify as linear, quadratic, polynomial, exponential or logarithmic and explain the reasons for your classifications.

f(x) = x^2 - 5x + 6
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First off, are you allowed to use a graphing calculator? I just have to ask because it seems to tedious to have to plot all these points, many of which require a great deal of time to calculate, especially if the graphing calculator is allowed. Second thing, you should recognize that any graph that has f(x) = x^2 in it's equation (where this is the highest power of x!) MUST be a QUADRATIC function.

So, if a calculator is allowed. Just type this into the calculator
"y1= x^2-5x +6". The graphing calculator will not only give you the graph, but it will give you the "TABLE" of values that you need. To see the graph as you have been asked to view it, be sure to set the window to include values of x that include x from x=0 to x=16 or more. The values of y will also have to be adjusted to show values of y where x=16.

I'll use the algebra.com graph as my "Graphing Calculator":
graph%28300%2C300%2C+-10%2C20%2C-10%2C+200%2C+x%5E2-5x%2B6%29+

If you need help with the graphing calculator, I have some great links on my website, including my own handouts on the TI83/84 or TI85/86 that you can download free. To find my website do a "Bing" or "Google" search for my last name "Rapalje". Near the top of the search list, look for "Rapalje Homepage." Near the bottom of my Homepage, look for the link "Calculator Websites and Handouts." MOST people are intimidated by the owners manuals for these high powered calculators!! I wrote my OWN handouts especially for YOU!!! They are free--try them out. If you like them, recommend the website to your friends!!!

NOW, for those who are NOT allowed to use a graphing calculator, the values you will need for your table are as follows:

x= 1, f(x)=2
x=2, f(x)=0
x=4, f(x)=2
x=8, f(x)=30
x=16, f(x)=182

Now, don't you really wish you could use the calculator???

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus