The following polynomial approximates the rabbit population in a particular area.?
R(x)= -0.121x^5+2.952x^4+3500, where x is the number of years frm 1975. use a graphing calculator to describe the rabbit population from the rears 1975 to 1990.
how do you get started with this problem
at x = 0 --- we have 1975
R(0) = 3500
http://www.wolframalpha.com/input/?i=f%28x%29+%3D++-0.121x%5E5%2B2.952x%5E4%2B3500+for+x+%3D+0
http://www.wolframalpha.com/input/?i=f%28x%29+%3D++-0.121x%5E5%2B2.952x%5E4%2B3500+for+x+%3D+1
http://www.wolframalpha.com/input/?i=f%28x%29+%3D++-0.121x%5E5%2B2.952x%5E4%2B3500+for+x+%3D+2
.......
http://www.wolframalpha.com/input/?i=f%28x%29+%3D++-0.121x%5E5%2B2.952x%5E4%2B3500+for+x+%3D+15
actaully my teacher put 1995=0 i forgot to put that in the problem
no big deal, so 1995 --- > 0
but what did he/she change 1990 to ?
make the suitable changes
To describe the rabbit population from 1975 to 1990 using the given polynomial, you can follow these steps:
1. Understand the given polynomial: The polynomial is represented as R(x) = -0.121x^5 + 2.952x^4 + 3500, where x represents the number of years from 1975.
2. Determine the range of x-values: We are interested in the years from 1975 to 1990. Thus, the range of x-values in this case would be from x = 0 (1975) to x = 15 (1990), because 1990 - 1975 = 15.
3. Input the polynomial into a graphing calculator: Most graphing calculators have the capability to graph polynomial functions. Input the polynomial equation R(x) = -0.121x^5 + 2.952x^4 + 3,500 into your calculator.
4. Set the appropriate window settings: Adjust the window settings of your calculator so that the x-values range from 0 to 15. This will provide a graph of the rabbit population over the years 1975 to 1990.
5. Graph the polynomial: Using the graphing function of your calculator, plot the points for the polynomial R(x) over the desired range of x-values.
6. Interpret the graph: Examine the graph to describe the behavior of the rabbit population from 1975 to 1990. Is the population increasing or decreasing? Are there any significant fluctuations or trends? Use the graph to determine if there are any peak years or other notable characteristics in the rabbit population during this time period.
By following these steps, you should be able to use a graphing calculator to describe the rabbit population from 1975 to 1990 based on the given polynomial equation.