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Now that we found where the line x=1 intersects our function, let's find the y-coordinate of the point of intersection by moving horizontally until we hit the y-axis.
We reached the y-axis at y = -3, which means that -3 is the y-coordinate of the point of intersection of the graph of our function with the line x = 1. In other words, f( 1) = -3.
Notice that the y-coordinate at this point is the y-intercept of the function. Therefore, f( 0) = -4.
Now that we can see where the line y=4 intersects our function, let's find the x-coordinates of these points by moving vertically from the points of intersection until we hit the x-axis.
This time we cannot determine the exact x-coordinates of our points, so we have to approximate them. It seems that we hit the x-axis at x ≈ -2.8 and x ≈ 2.8. Therefore, we can satisfy f(x) = 4 when x ≈ -2.8 and x ≈ 2.8.
Notice that this line is the x-axis. In other words, the x-coordinates of these points are the x-intercepts of the function. Let's identify them.
When f(x) = 0, x = -2 and x = 2.
