what do i put the viewing window as on my calculator if i have an equation of
2x^2+40000/x
is x=0 an allowed value in the domain? So have to make allowances for x near zero. Check the problem: is x cited to have a particular domain? If not, then plot this in two parts
x large negative to near zero say x=-.1
second graph..
x near zero say x=.1 to large x.
Cheryl: My wife tells me that some calcs can handle the number/x when x approaches zero, but I havent ever seen one.
To determine if x=0 is an allowed value in the domain of the equation 2x^2 + 40000/x, you need to check if there are any restrictions on x mentioned in the problem. If the problem does not specify any restrictions, then x=0 is assumed to be allowed.
Next, to plot the graph in two parts as suggested, follow these steps:
1. Select a viewing window on your calculator that allows you to see the desired x-values clearly. It depends on the specific calculator model you're using, but the general method is as follows:
- Press the "Window" or "Zoom" button on your calculator.
- Adjust the range of the x-values in the window. You can set the values for xmin (minimum x-value), xmax (maximum x-value), xscl (x-scale), ymin (minimum y-value), and ymax (maximum y-value). In this case, you want to focus on x-values near zero. Set xmin and xmax accordingly, ensuring that it covers the range from negative x-values to positive x-values near zero.
- Adjust the y-values range, ymin and ymax, to a suitable value that shows the graph clearly.
2. Start by plotting the graph for the negative x-values near zero, such as x = -0.1. Substitute x = -0.1 into the equation and calculate the corresponding y-value. Repeat this process for other negative x-values approaching zero, such as x = -0.2, -0.3, etc. Plot these points on your calculator's coordinate plane.
3. Next, plot the graph for the positive x-values near zero, such as x = 0.1. Substitute x = 0.1 into the equation and calculate the corresponding y-value. Repeat this process for other positive x-values approaching zero, such as x = 0.2, 0.3, etc. Plot these points on your calculator's coordinate plane.
By plotting the graph in these two parts, you'll be able to visualize the behavior of the equation as x approaches zero from both the negative and positive sides.
Regarding the statement about calculators handling the number/x when x approaches zero, it depends on the specific calculator and its capabilities. Some calculators may handle such cases, while others may not. It's best to consult the user manual or documentation of your calculator model to know its capabilities in dealing with division by zero near zero.