How am I supposed to graph y = 2/x? Which values should I use? (This is supposed to be an inverse variation graph.)
when x = 0, undefined (very big to the right, very negative to the left of origin)
when x = 1, y = 2
when x = -1, y = -2
when x = 2, y = 1
when x = -2, y = -1
when x = 5218575, y is very close to x axis above it
when x = -5218575, y is very close to the x axis under it.
you are given the 2012 value of a product and the rate at which the value is expected to change during the next 5 years. use this information to write a linear equation that gives the dollar value v of the product in terms of the year. (let=12 represent 2013) 2012 rate and 156 4.50 increase per year
To graph the equation y = 2/x, which represents inverse variation, you can follow these steps:
1. Identify the range of x-values you would like to use for your graph. It's generally a good idea to choose a range that includes both positive and negative values to capture the behavior of the function accurately.
2. List down a set of x-values that you have chosen. Let's say you decide to use x = -3, -2, -1, 1, 2, and 3.
3. Calculate the corresponding y-values using the equation y = 2/x. Substitute each x-value into the equation and compute the corresponding y-value. For example, for x = -3, y = 2/(-3) = -2/3.
4. Create pairs of x and y values. Write them down in the format (x, y). For our example, the pairs would be (-3, -2/3), (-2, -1), (-1, -2), (1, 2), (2, 1), and (3, 2/3).
5. Plot the points on a graph. Use a graph paper or a computer graphing tool to plot the points you obtained in the previous step. The x-values represent the horizontal axis, and the y-values represent the vertical axis.
6. Connect the points to form a smooth curve. Since the equation represents inverse variation, the graph will be a hyperbola that passes through the points you plotted. Draw a curved line smoothly connecting the points on the graph.
Now you have successfully graphed the equation y = 2/x, representing inverse variation.