Question

Draw a graph of y=1/x

Answer 1

Explanation:

Note that this function is not defined at x = 0; it does have a vertical asymptote which is the line x = 0, as well as a horiz. asymptote which is the line y = 0. This function is odd because the power of x is -1 (a negative odd number). Half the graph appears in Quadrant I: (1, 1), (2, 1/2), (3, 1/3), etc.

The other half is the reflection of the Quadrant I part in the origin, and this is because the function is odd.

Answer 2

For every x value (left or right), put it into the equation to find the y value (up or down).

For example, if the x value is 1, then the y value is 1/1 or 1.