How do you graph # f(x)=1/x#?

Question

Nathan Axel · Accepted Answer

graph{1/x [-20, 20, -10, 10]}

The easiest way would be to plug in numbers for #x#, I'd say try If plugged in you would get the coordinates #(2,1/2)# #(-1,-1)# undefined #(1,1)# #(2,1/2)# Since this is a parent function, I'd recommend memorizing what this graph looks like

Isaiah Anthony · Answer

undefined To graph the function f(x) = 1/x, follow these steps:

1. Determine the domain of the function, which is all real numbers except x = 0, since division by zero is undefined.

2. Choose a set of x-values to evaluate the function. It is recommended to select both positive and negative values to understand the behavior of the graph.

3. Calculate the corresponding y-values by substituting the chosen x-values into the function f(x) = 1/x.

4. Plot the points (x, y) on a coordinate plane.

5. Draw a smooth curve that passes through the plotted points. Note that the graph will approach but never touch the x-axis as x approaches positive or negative infinity.

6. Label the axes as x and y, and provide any additional information or context as needed.

That's it! You have successfully graphed the function f(x) = 1/x.