what should "window" be on the graphing calculator when graphing x^3-x^2-5x+2 to find the zeros?
Xmin=-10
Zmax=10
Xscl=1
Ymin=-10
Ymax=10
Yscl=1
To graph the function f(x) = x^3 - x^2 - 5x + 2 on a graphing calculator and find its zeros, you need to set the appropriate window settings. Here's a step-by-step guide:
1. Turn on your graphing calculator and go to the graphing mode.
2. Press the "Y=" button to enter the function. Input the equation as Y1 = x^3 - x^2 - 5x + 2.
3. Press the "WINDOW" button or an equivalent option on your calculator to access the window settings.
4. Adjust the window settings for the x-axis and y-axis to ensure that the entire graph is visible. Here are some recommended starting values:
- Xmin: Choose a value slightly smaller than the smallest x-value of interest (or leave it as the default if unsure).
- Xmax: Choose a value slightly larger than the largest x-value of interest (or leave it as the default if unsure).
- Xscl: Set the x-axis scale to a proper increment based on your preference (e.g., 1, 0.1, etc.).
- Ymin: Choose a value slightly smaller than the lowest y-value of interest (or leave it as the default if unsure).
- Ymax: Choose a value slightly larger than the highest y-value of interest (or leave it as the default if unsure).
- Yscl: Set the y-axis scale to a proper increment based on your preference (e.g., 1, 0.1, etc.).
5. Once you have set the window values, press the "GRAPH" button to plot the graph of the function.
6. The zeros of the function are the x-values where the graph intersects the x-axis. You can use the calculator's tools (such as the "TRACE" or "CALC" functions) to determine the values of the zeros more precisely. Alternatively, you can visually read the x-values on the x-axis where the graph crosses or touches it.
By adjusting the window settings, the graphing calculator will display the function and its zeros.