We are given the graph of a function and we want to identify the x and y intercepts. Recall that an intercept is the point at which the graph crosses the specific axis. For example, the y intercept is the value of y at which the graph crosses the y axis.
With this information, first, we identify the y axis as the black numbered vertical line shown on the given picture. Let us highlight the y value at which the graph crosses the y-axis.
We have drawn a horiziontal line at the point where the graph touches the y axis. We see that the graph crosses the y axis at the point y=6. So, the y intercept of the graph is y=6.
Let us repeat the process , but now drawing vertical lines at the points at which the graph crosses the x axis. We would get something like this
We drew vertical lines to identify that the graph crosses the x axis at the points x=-6 and x=2. So the x intercepts of the graph are -6,2.
